What is the Greatest Common Factor of 77076 and 77088?

Greatest common factor (GCF) of 77076 and 77088 is 12.

GCF(77076,77088) = 12

We will now calculate the prime factors of 77076 and 77088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77076 and 77088.

How to find the GCF of 77076 and 77088?

We will first find the prime factorization of 77076 and 77088. After we will calculate the factors of 77076 and 77088 and find the biggest common factor number .

Step-1: Prime Factorization of 77076

Prime factors of 77076 are 2, 3, 2141. Prime factorization of 77076 in exponential form is:

77076 = 2² × 3² × 2141¹

Step-2: Prime Factorization of 77088

Prime factors of 77088 are 2, 3, 11, 73. Prime factorization of 77088 in exponential form is:

77088 = 2⁵ × 3¹ × 11¹ × 73¹

Step-3: Factors of 77076

List of positive integer factors of 77076 that divides 77076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2141, 4282, 6423, 8564, 12846, 19269, 25692, 38538

Step-4: Factors of 77088

List of positive integer factors of 77088 that divides 77076 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 73, 88, 96, 132, 146, 176, 219, 264, 292, 352, 438, 528, 584, 803, 876, 1056, 1168, 1606, 1752, 2336, 2409, 3212, 3504, 4818, 6424, 7008, 9636, 12848, 19272, 25696, 38544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77076 and 77088. The biggest common factor number is the GCF number.
So the greatest common factor 77076 and 77088 is 12.

Also check out the Least Common Multiple of 77076 and 77088