What is the Greatest Common Factor of 59961 and 59972?

Greatest common factor (GCF) of 59961 and 59972 is 11.

GCF(59961,59972) = 11

We will now calculate the prime factors of 59961 and 59972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59961 and 59972.

How to find the GCF of 59961 and 59972?

We will first find the prime factorization of 59961 and 59972. After we will calculate the factors of 59961 and 59972 and find the biggest common factor number .

Step-1: Prime Factorization of 59961

Prime factors of 59961 are 3, 11, 23, 79. Prime factorization of 59961 in exponential form is:

59961 = 3¹ × 11¹ × 23¹ × 79¹

Step-2: 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-3: Factors of 59961

List of positive integer factors of 59961 that divides 59961 without a remainder.

1, 3, 11, 23, 33, 69, 79, 237, 253, 759, 869, 1817, 2607, 5451, 19987

Step-4: Factors of 59972

List of positive integer factors of 59972 that divides 59961 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59961 and 59972. The biggest common factor number is the GCF number.
So the greatest common factor 59961 and 59972 is 11.

Also check out the Least Common Multiple of 59961 and 59972