What is the Greatest Common Factor of 62972 and 62985?

Greatest common factor (GCF) of 62972 and 62985 is 13.

GCF(62972,62985) = 13

We will now calculate the prime factors of 62972 and 62985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62972 and 62985.

How to find the GCF of 62972 and 62985?

We will first find the prime factorization of 62972 and 62985. After we will calculate the factors of 62972 and 62985 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 62985

Prime factors of 62985 are 3, 5, 13, 17, 19. Prime factorization of 62985 in exponential form is:

62985 = 3¹ × 5¹ × 13¹ × 17¹ × 19¹

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 62985

List of positive integer factors of 62985 that divides 62972 without a remainder.

1, 3, 5, 13, 15, 17, 19, 39, 51, 57, 65, 85, 95, 195, 221, 247, 255, 285, 323, 663, 741, 969, 1105, 1235, 1615, 3315, 3705, 4199, 4845, 12597, 20995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62972 and 62985. The biggest common factor number is the GCF number.
So the greatest common factor 62972 and 62985 is 13.

Also check out the Least Common Multiple of 62972 and 62985