What is the Greatest Common Factor of 59922 and 59927?

Greatest common factor (GCF) of 59922 and 59927 is 1.

GCF(59922,59927) = 1

We will now calculate the prime factors of 59922 and 59927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59922 and 59927.

How to find the GCF of 59922 and 59927?

We will first find the prime factorization of 59922 and 59927. After we will calculate the factors of 59922 and 59927 and find the biggest common factor number .

Step-1: Prime Factorization of 59922

Prime factors of 59922 are 2, 3, 3329. Prime factorization of 59922 in exponential form is:

59922 = 2¹ × 3² × 3329¹

Step-2: Prime Factorization of 59927

Prime factors of 59927 are 7, 1223. Prime factorization of 59927 in exponential form is:

59927 = 7² × 1223¹

Step-3: Factors of 59922

List of positive integer factors of 59922 that divides 59922 without a remainder.

1, 2, 3, 6, 9, 18, 3329, 6658, 9987, 19974, 29961

Step-4: Factors of 59927

List of positive integer factors of 59927 that divides 59922 without a remainder.

1, 7, 49, 1223, 8561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59922 and 59927. The biggest common factor number is the GCF number.
So the greatest common factor 59922 and 59927 is 1.

Also check out the Least Common Multiple of 59922 and 59927