What is the Greatest Common Factor of 77440 and 77458?

Greatest common factor (GCF) of 77440 and 77458 is 2.

GCF(77440,77458) = 2

We will now calculate the prime factors of 77440 and 77458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77440 and 77458.

How to find the GCF of 77440 and 77458?

We will first find the prime factorization of 77440 and 77458. After we will calculate the factors of 77440 and 77458 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 77458

Prime factors of 77458 are 2, 38729. Prime factorization of 77458 in exponential form is:

77458 = 2¹ × 38729¹

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 77458

List of positive integer factors of 77458 that divides 77440 without a remainder.

1, 2, 38729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77440 and 77458. The biggest common factor number is the GCF number.
So the greatest common factor 77440 and 77458 is 2.

Also check out the Least Common Multiple of 77440 and 77458