The greatest common factor (GCF) of 14 and 35 is 7. To calculate the GCF of two numbers, we need to factor each number and choose the greatest factor that exactly divides both numbers without any remainder. The factors of 14 are 1, 2, 7, and 14, while the factors of 35 are 1, 5, 7, and 35. The greatest factor that both numbers share is 7, so the GCF of 14 and 35 is 7. Another way to find the GCF is to compare the prime factorization of each number. The prime factorization of 14 is 2 × 7, and the prime factorization of 35 is 5 × 7. The greatest common factor is the product of the common prime factors, which is 7.