What is the Greatest Common Factor of 62972 and 62982?

Greatest common factor (GCF) of 62972 and 62982 is 2.

GCF(62972,62982) = 2

We will now calculate the prime factors of 62972 and 62982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62972 and 62982.

How to find the GCF of 62972 and 62982?

We will first find the prime factorization of 62972 and 62982. After we will calculate the factors of 62972 and 62982 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 62982

Prime factors of 62982 are 2, 3, 3499. Prime factorization of 62982 in exponential form is:

62982 = 2¹ × 3² × 3499¹

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 62982

List of positive integer factors of 62982 that divides 62972 without a remainder.

1, 2, 3, 6, 9, 18, 3499, 6998, 10497, 20994, 31491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62972 and 62982. The biggest common factor number is the GCF number.
So the greatest common factor 62972 and 62982 is 2.

Also check out the Least Common Multiple of 62972 and 62982