What is the Greatest Common Factor of 59688 and 59692?

Greatest common factor (GCF) of 59688 and 59692 is 4.

GCF(59688,59692) = 4

We will now calculate the prime factors of 59688 and 59692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59688 and 59692.

How to find the GCF of 59688 and 59692?

We will first find the prime factorization of 59688 and 59692. After we will calculate the factors of 59688 and 59692 and find the biggest common factor number .

Step-1: Prime Factorization of 59688

Prime factors of 59688 are 2, 3, 829. Prime factorization of 59688 in exponential form is:

59688 = 2³ × 3² × 829¹

Step-2: Prime Factorization of 59692

Prime factors of 59692 are 2, 14923. Prime factorization of 59692 in exponential form is:

59692 = 2² × 14923¹

Step-3: Factors of 59688

List of positive integer factors of 59688 that divides 59688 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 829, 1658, 2487, 3316, 4974, 6632, 7461, 9948, 14922, 19896, 29844

Step-4: Factors of 59692

List of positive integer factors of 59692 that divides 59688 without a remainder.

1, 2, 4, 14923, 29846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59688 and 59692. The biggest common factor number is the GCF number.
So the greatest common factor 59688 and 59692 is 4.

Also check out the Least Common Multiple of 59688 and 59692