What is the Greatest Common Factor of 59688 and 59698?

Greatest common factor (GCF) of 59688 and 59698 is 2.

GCF(59688,59698) = 2

We will now calculate the prime factors of 59688 and 59698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59688 and 59698.

How to find the GCF of 59688 and 59698?

We will first find the prime factorization of 59688 and 59698. After we will calculate the factors of 59688 and 59698 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 59698

Prime factors of 59698 are 2, 19, 1571. Prime factorization of 59698 in exponential form is:

59698 = 2¹ × 19¹ × 1571¹

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 59698

List of positive integer factors of 59698 that divides 59688 without a remainder.

1, 2, 19, 38, 1571, 3142, 29849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59688 and 59698. The biggest common factor number is the GCF number.
So the greatest common factor 59688 and 59698 is 2.

Also check out the Least Common Multiple of 59688 and 59698