What is the Greatest Common Factor of 77440 and 77445?

Greatest common factor (GCF) of 77440 and 77445 is 5.

GCF(77440,77445) = 5

We will now calculate the prime factors of 77440 and 77445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77440 and 77445.

How to find the GCF of 77440 and 77445?

We will first find the prime factorization of 77440 and 77445. After we will calculate the factors of 77440 and 77445 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 77445

Prime factors of 77445 are 3, 5, 1721. Prime factorization of 77445 in exponential form is:

77445 = 3² × 5¹ × 1721¹

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 77445

List of positive integer factors of 77445 that divides 77440 without a remainder.

1, 3, 5, 9, 15, 45, 1721, 5163, 8605, 15489, 25815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77440 and 77445. The biggest common factor number is the GCF number.
So the greatest common factor 77440 and 77445 is 5.

Also check out the Least Common Multiple of 77440 and 77445