What is the Greatest Common Factor of 77364 and 77376?

Greatest common factor (GCF) of 77364 and 77376 is 12.

GCF(77364,77376) = 12

We will now calculate the prime factors of 77364 and 77376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77364 and 77376.

How to find the GCF of 77364 and 77376?

We will first find the prime factorization of 77364 and 77376. After we will calculate the factors of 77364 and 77376 and find the biggest common factor number .

Step-1: Prime Factorization of 77364

Prime factors of 77364 are 2, 3, 7, 307. Prime factorization of 77364 in exponential form is:

77364 = 2² × 3² × 7¹ × 307¹

Step-2: Prime Factorization of 77376

Prime factors of 77376 are 2, 3, 13, 31. Prime factorization of 77376 in exponential form is:

77376 = 2⁶ × 3¹ × 13¹ × 31¹

Step-3: Factors of 77364

List of positive integer factors of 77364 that divides 77364 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 307, 614, 921, 1228, 1842, 2149, 2763, 3684, 4298, 5526, 6447, 8596, 11052, 12894, 19341, 25788, 38682

Step-4: Factors of 77376

List of positive integer factors of 77376 that divides 77364 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 31, 32, 39, 48, 52, 62, 64, 78, 93, 96, 104, 124, 156, 186, 192, 208, 248, 312, 372, 403, 416, 496, 624, 744, 806, 832, 992, 1209, 1248, 1488, 1612, 1984, 2418, 2496, 2976, 3224, 4836, 5952, 6448, 9672, 12896, 19344, 25792, 38688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77364 and 77376. The biggest common factor number is the GCF number.
So the greatest common factor 77364 and 77376 is 12.

Also check out the Least Common Multiple of 77364 and 77376