What is the Greatest Common Factor of 59972 and 59983?

Greatest common factor (GCF) of 59972 and 59983 is 11.

GCF(59972,59983) = 11

We will now calculate the prime factors of 59972 and 59983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59972 and 59983.

How to find the GCF of 59972 and 59983?

We will first find the prime factorization of 59972 and 59983. After we will calculate the factors of 59972 and 59983 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 59983

Prime factors of 59983 are 7, 11, 19, 41. Prime factorization of 59983 in exponential form is:

59983 = 7¹ × 11¹ × 19¹ × 41¹

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 59983

List of positive integer factors of 59983 that divides 59972 without a remainder.

1, 7, 11, 19, 41, 77, 133, 209, 287, 451, 779, 1463, 3157, 5453, 8569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59972 and 59983. The biggest common factor number is the GCF number.
So the greatest common factor 59972 and 59983 is 11.

Also check out the Least Common Multiple of 59972 and 59983