What is the Greatest Common Factor of 77424 and 77440?

Greatest common factor (GCF) of 77424 and 77440 is 16.

GCF(77424,77440) = 16

We will now calculate the prime factors of 77424 and 77440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77424 and 77440.

How to find the GCF of 77424 and 77440?

We will first find the prime factorization of 77424 and 77440. After we will calculate the factors of 77424 and 77440 and find the biggest common factor number .

Step-1: Prime Factorization of 77424

Prime factors of 77424 are 2, 3, 1613. Prime factorization of 77424 in exponential form is:

77424 = 2⁴ × 3¹ × 1613¹

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 77424

List of positive integer factors of 77424 that divides 77424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1613, 3226, 4839, 6452, 9678, 12904, 19356, 25808, 38712

Step-4: Factors of 77440

List of positive integer factors of 77440 that divides 77424 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 77424 and 77440. The biggest common factor number is the GCF number.
So the greatest common factor 77424 and 77440 is 16.

Also check out the Least Common Multiple of 77424 and 77440