What is the Greatest Common Factor of 62968 and 62985?

Greatest common factor (GCF) of 62968 and 62985 is 17.

GCF(62968,62985) = 17

We will now calculate the prime factors of 62968 and 62985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62968 and 62985.

How to find the GCF of 62968 and 62985?

We will first find the prime factorization of 62968 and 62985. After we will calculate the factors of 62968 and 62985 and find the biggest common factor number .

Step-1: Prime Factorization of 62968

Prime factors of 62968 are 2, 17, 463. Prime factorization of 62968 in exponential form is:

62968 = 2³ × 17¹ × 463¹

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 62968

List of positive integer factors of 62968 that divides 62968 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 463, 926, 1852, 3704, 7871, 15742, 31484

Step-4: Factors of 62985

List of positive integer factors of 62985 that divides 62968 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 62968 and 62985. The biggest common factor number is the GCF number.
So the greatest common factor 62968 and 62985 is 17.

Also check out the Least Common Multiple of 62968 and 62985