What is the Greatest Common Factor of 68976 and 68991?

Greatest common factor (GCF) of 68976 and 68991 is 3.

GCF(68976,68991) = 3

We will now calculate the prime factors of 68976 and 68991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68976 and 68991.

How to find the GCF of 68976 and 68991?

We will first find the prime factorization of 68976 and 68991. After we will calculate the factors of 68976 and 68991 and find the biggest common factor number .

Step-1: Prime Factorization of 68976

Prime factors of 68976 are 2, 3, 479. Prime factorization of 68976 in exponential form is:

68976 = 2⁴ × 3² × 479¹

Step-2: Prime Factorization of 68991

Prime factors of 68991 are 3, 13, 29, 61. Prime factorization of 68991 in exponential form is:

68991 = 3¹ × 13¹ × 29¹ × 61¹

Step-3: Factors of 68976

List of positive integer factors of 68976 that divides 68976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 479, 958, 1437, 1916, 2874, 3832, 4311, 5748, 7664, 8622, 11496, 17244, 22992, 34488

Step-4: Factors of 68991

List of positive integer factors of 68991 that divides 68976 without a remainder.

1, 3, 13, 29, 39, 61, 87, 183, 377, 793, 1131, 1769, 2379, 5307, 22997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68976 and 68991. The biggest common factor number is the GCF number.
So the greatest common factor 68976 and 68991 is 3.

Also check out the Least Common Multiple of 68976 and 68991