What is the Greatest Common Factor of 77360 and 77376?

Greatest common factor (GCF) of 77360 and 77376 is 16.

GCF(77360,77376) = 16

We will now calculate the prime factors of 77360 and 77376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77360 and 77376.

How to find the GCF of 77360 and 77376?

We will first find the prime factorization of 77360 and 77376. After we will calculate the factors of 77360 and 77376 and find the biggest common factor number .

Step-1: Prime Factorization of 77360

Prime factors of 77360 are 2, 5, 967. Prime factorization of 77360 in exponential form is:

77360 = 2⁴ × 5¹ × 967¹

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 77360

List of positive integer factors of 77360 that divides 77360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 967, 1934, 3868, 4835, 7736, 9670, 15472, 19340, 38680

Step-4: Factors of 77376

List of positive integer factors of 77376 that divides 77360 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 77360 and 77376. The biggest common factor number is the GCF number.
So the greatest common factor 77360 and 77376 is 16.

Also check out the Least Common Multiple of 77360 and 77376