What is the Greatest Common Factor of 77440 and 77451?

Greatest common factor (GCF) of 77440 and 77451 is 11.

GCF(77440,77451) = 11

We will now calculate the prime factors of 77440 and 77451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77440 and 77451.

How to find the GCF of 77440 and 77451?

We will first find the prime factorization of 77440 and 77451. After we will calculate the factors of 77440 and 77451 and find the biggest common factor number .

Step-1: Prime Factorization of 77440

Prime factors of 77440 are 2, 5, 11. Prime factorization of 77440 in exponential form is:

77440 = 2⁷ × 5¹ × 11²

Step-2: Prime Factorization of 77451

Prime factors of 77451 are 3, 11, 2347. Prime factorization of 77451 in exponential form is:

77451 = 3¹ × 11¹ × 2347¹

Step-3: Factors of 77440

List of positive integer factors of 77440 that divides 77440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 121, 128, 160, 176, 220, 242, 320, 352, 440, 484, 605, 640, 704, 880, 968, 1210, 1408, 1760, 1936, 2420, 3520, 3872, 4840, 7040, 7744, 9680, 15488, 19360, 38720

Step-4: Factors of 77451

List of positive integer factors of 77451 that divides 77440 without a remainder.

1, 3, 11, 33, 2347, 7041, 25817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77440 and 77451. The biggest common factor number is the GCF number.
So the greatest common factor 77440 and 77451 is 11.

Also check out the Least Common Multiple of 77440 and 77451