What is the Greatest Common Factor of 59972 and 59988?

Greatest common factor (GCF) of 59972 and 59988 is 4.

GCF(59972,59988) = 4

We will now calculate the prime factors of 59972 and 59988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59972 and 59988.

How to find the GCF of 59972 and 59988?

We will first find the prime factorization of 59972 and 59988. After we will calculate the factors of 59972 and 59988 and find the biggest common factor number .

Step-1: Prime Factorization of 59972

Prime factors of 59972 are 2, 11, 29, 47. Prime factorization of 59972 in exponential form is:

59972 = 2² × 11¹ × 29¹ × 47¹

Step-2: Prime Factorization of 59988

Prime factors of 59988 are 2, 3, 4999. Prime factorization of 59988 in exponential form is:

59988 = 2² × 3¹ × 4999¹

Step-3: Factors of 59972

List of positive integer factors of 59972 that divides 59972 without a remainder.

1, 2, 4, 11, 22, 29, 44, 47, 58, 94, 116, 188, 319, 517, 638, 1034, 1276, 1363, 2068, 2726, 5452, 14993, 29986

Step-4: Factors of 59988

List of positive integer factors of 59988 that divides 59972 without a remainder.

1, 2, 3, 4, 6, 12, 4999, 9998, 14997, 19996, 29994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59972 and 59988. The biggest common factor number is the GCF number.
So the greatest common factor 59972 and 59988 is 4.

Also check out the Least Common Multiple of 59972 and 59988