What is the Greatest Common Factor of 68976 and 68988?

Greatest common factor (GCF) of 68976 and 68988 is 12.

GCF(68976,68988) = 12

We will now calculate the prime factors of 68976 and 68988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68976 and 68988.

How to find the GCF of 68976 and 68988?

We will first find the prime factorization of 68976 and 68988. After we will calculate the factors of 68976 and 68988 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 68988

Prime factors of 68988 are 2, 3, 5749. Prime factorization of 68988 in exponential form is:

68988 = 2² × 3¹ × 5749¹

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 68988

List of positive integer factors of 68988 that divides 68976 without a remainder.

1, 2, 3, 4, 6, 12, 5749, 11498, 17247, 22996, 34494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68976 and 68988. The biggest common factor number is the GCF number.
So the greatest common factor 68976 and 68988 is 12.

Also check out the Least Common Multiple of 68976 and 68988