What is the Greatest Common Factor of 77440 and 77450?

Greatest common factor (GCF) of 77440 and 77450 is 10.

GCF(77440,77450) = 10

We will now calculate the prime factors of 77440 and 77450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77440 and 77450.

How to find the GCF of 77440 and 77450?

We will first find the prime factorization of 77440 and 77450. After we will calculate the factors of 77440 and 77450 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 77450

Prime factors of 77450 are 2, 5, 1549. Prime factorization of 77450 in exponential form is:

77450 = 2¹ × 5² × 1549¹

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 77450

List of positive integer factors of 77450 that divides 77440 without a remainder.

1, 2, 5, 10, 25, 50, 1549, 3098, 7745, 15490, 38725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77440 and 77450. The biggest common factor number is the GCF number.
So the greatest common factor 77440 and 77450 is 10.

Also check out the Least Common Multiple of 77440 and 77450