What is the Greatest Common Factor of 59937 and 59952?

Greatest common factor (GCF) of 59937 and 59952 is 3.

GCF(59937,59952) = 3

We will now calculate the prime factors of 59937 and 59952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59937 and 59952.

How to find the GCF of 59937 and 59952?

We will first find the prime factorization of 59937 and 59952. After we will calculate the factors of 59937 and 59952 and find the biggest common factor number .

Step-1: Prime Factorization of 59937

Prime factors of 59937 are 3, 19979. Prime factorization of 59937 in exponential form is:

59937 = 3¹ × 19979¹

Step-2: Prime Factorization of 59952

Prime factors of 59952 are 2, 3, 1249. Prime factorization of 59952 in exponential form is:

59952 = 2⁴ × 3¹ × 1249¹

Step-3: Factors of 59937

List of positive integer factors of 59937 that divides 59937 without a remainder.

1, 3, 19979

Step-4: Factors of 59952

List of positive integer factors of 59952 that divides 59937 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1249, 2498, 3747, 4996, 7494, 9992, 14988, 19984, 29976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59937 and 59952. The biggest common factor number is the GCF number.
So the greatest common factor 59937 and 59952 is 3.

Also check out the Least Common Multiple of 59937 and 59952