What is the Greatest Common Factor of 59972 and 59987?

Greatest common factor (GCF) of 59972 and 59987 is 1.

GCF(59972,59987) = 1

We will now calculate the prime factors of 59972 and 59987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59972 and 59987.

How to find the GCF of 59972 and 59987?

We will first find the prime factorization of 59972 and 59987. After we will calculate the factors of 59972 and 59987 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 59987

Prime factors of 59987 are 223, 269. Prime factorization of 59987 in exponential form is:

59987 = 223¹ × 269¹

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 59987

List of positive integer factors of 59987 that divides 59972 without a remainder.

1, 223, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59972 and 59987. The biggest common factor number is the GCF number.
So the greatest common factor 59972 and 59987 is 1.

Also check out the Least Common Multiple of 59972 and 59987