What is the Greatest Common Factor of 62972 and 62986?

Greatest common factor (GCF) of 62972 and 62986 is 14.

GCF(62972,62986) = 14

We will now calculate the prime factors of 62972 and 62986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62972 and 62986.

How to find the GCF of 62972 and 62986?

We will first find the prime factorization of 62972 and 62986. After we will calculate the factors of 62972 and 62986 and find the biggest common factor number .

Step-1: Prime Factorization of 62972

Prime factors of 62972 are 2, 7, 13, 173. Prime factorization of 62972 in exponential form is:

62972 = 2² × 7¹ × 13¹ × 173¹

Step-2: Prime Factorization of 62986

Prime factors of 62986 are 2, 7, 11, 409. Prime factorization of 62986 in exponential form is:

62986 = 2¹ × 7¹ × 11¹ × 409¹

Step-3: Factors of 62972

List of positive integer factors of 62972 that divides 62972 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 173, 182, 346, 364, 692, 1211, 2249, 2422, 4498, 4844, 8996, 15743, 31486

Step-4: Factors of 62986

List of positive integer factors of 62986 that divides 62972 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 409, 818, 2863, 4499, 5726, 8998, 31493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62972 and 62986. The biggest common factor number is the GCF number.
So the greatest common factor 62972 and 62986 is 14.

Also check out the Least Common Multiple of 62972 and 62986