What is the Greatest Common Factor of 77430 and 77440?

Greatest common factor (GCF) of 77430 and 77440 is 10.

GCF(77430,77440) = 10

We will now calculate the prime factors of 77430 and 77440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77430 and 77440.

How to find the GCF of 77430 and 77440?

We will first find the prime factorization of 77430 and 77440. After we will calculate the factors of 77430 and 77440 and find the biggest common factor number .

Step-1: Prime Factorization of 77430

Prime factors of 77430 are 2, 3, 5, 29, 89. Prime factorization of 77430 in exponential form is:

77430 = 2¹ × 3¹ × 5¹ × 29¹ × 89¹

Step-2: 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-3: Factors of 77430

List of positive integer factors of 77430 that divides 77430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 89, 145, 174, 178, 267, 290, 435, 445, 534, 870, 890, 1335, 2581, 2670, 5162, 7743, 12905, 15486, 25810, 38715

Step-4: Factors of 77440

List of positive integer factors of 77440 that divides 77430 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77430 and 77440. The biggest common factor number is the GCF number.
So the greatest common factor 77430 and 77440 is 10.

Also check out the Least Common Multiple of 77430 and 77440