What is the Greatest Common Factor of 59948 and 59952?

Greatest common factor (GCF) of 59948 and 59952 is 4.

GCF(59948,59952) = 4

We will now calculate the prime factors of 59948 and 59952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59948 and 59952.

How to find the GCF of 59948 and 59952?

We will first find the prime factorization of 59948 and 59952. After we will calculate the factors of 59948 and 59952 and find the biggest common factor number .

Step-1: Prime Factorization of 59948

Prime factors of 59948 are 2, 7, 2141. Prime factorization of 59948 in exponential form is:

59948 = 2² × 7¹ × 2141¹

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 59948

List of positive integer factors of 59948 that divides 59948 without a remainder.

1, 2, 4, 7, 14, 28, 2141, 4282, 8564, 14987, 29974

Step-4: Factors of 59952

List of positive integer factors of 59952 that divides 59948 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 59948 and 59952. The biggest common factor number is the GCF number.
So the greatest common factor 59948 and 59952 is 4.

Also check out the Least Common Multiple of 59948 and 59952