What is the Greatest Common Factor of 59972 and 59986?

Greatest common factor (GCF) of 59972 and 59986 is 2.

GCF(59972,59986) = 2

We will now calculate the prime factors of 59972 and 59986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59972 and 59986.

How to find the GCF of 59972 and 59986?

We will first find the prime factorization of 59972 and 59986. After we will calculate the factors of 59972 and 59986 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 59986

Prime factors of 59986 are 2, 89, 337. Prime factorization of 59986 in exponential form is:

59986 = 2¹ × 89¹ × 337¹

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 59986

List of positive integer factors of 59986 that divides 59972 without a remainder.

1, 2, 89, 178, 337, 674, 29993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59972 and 59986. The biggest common factor number is the GCF number.
So the greatest common factor 59972 and 59986 is 2.

Also check out the Least Common Multiple of 59972 and 59986