What is the Greatest Common Factor of 59708 and 59714?

Greatest common factor (GCF) of 59708 and 59714 is 2.

GCF(59708,59714) = 2

We will now calculate the prime factors of 59708 and 59714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59708 and 59714.

How to find the GCF of 59708 and 59714?

We will first find the prime factorization of 59708 and 59714. After we will calculate the factors of 59708 and 59714 and find the biggest common factor number .

Step-1: Prime Factorization of 59708

Prime factors of 59708 are 2, 11, 23, 59. Prime factorization of 59708 in exponential form is:

59708 = 2² × 11¹ × 23¹ × 59¹

Step-2: Prime Factorization of 59714

Prime factors of 59714 are 2, 73, 409. Prime factorization of 59714 in exponential form is:

59714 = 2¹ × 73¹ × 409¹

Step-3: Factors of 59708

List of positive integer factors of 59708 that divides 59708 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 59, 92, 118, 236, 253, 506, 649, 1012, 1298, 1357, 2596, 2714, 5428, 14927, 29854

Step-4: Factors of 59714

List of positive integer factors of 59714 that divides 59708 without a remainder.

1, 2, 73, 146, 409, 818, 29857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59708 and 59714. The biggest common factor number is the GCF number.
So the greatest common factor 59708 and 59714 is 2.

Also check out the Least Common Multiple of 59708 and 59714