What is the Greatest Common Factor of 79360 and 79370?

Greatest common factor (GCF) of 79360 and 79370 is 10.

GCF(79360,79370) = 10

We will now calculate the prime factors of 79360 and 79370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79360 and 79370.

How to find the GCF of 79360 and 79370?

We will first find the prime factorization of 79360 and 79370. After we will calculate the factors of 79360 and 79370 and find the biggest common factor number .

Step-1: Prime Factorization of 79360

Prime factors of 79360 are 2, 5, 31. Prime factorization of 79360 in exponential form is:

79360 = 2⁹ × 5¹ × 31¹

Step-2: Prime Factorization of 79370

Prime factors of 79370 are 2, 5, 7937. Prime factorization of 79370 in exponential form is:

79370 = 2¹ × 5¹ × 7937¹

Step-3: Factors of 79360

List of positive integer factors of 79360 that divides 79360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 128, 155, 160, 248, 256, 310, 320, 496, 512, 620, 640, 992, 1240, 1280, 1984, 2480, 2560, 3968, 4960, 7936, 9920, 15872, 19840, 39680

Step-4: Factors of 79370

List of positive integer factors of 79370 that divides 79360 without a remainder.

1, 2, 5, 10, 7937, 15874, 39685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79360 and 79370. The biggest common factor number is the GCF number.
So the greatest common factor 79360 and 79370 is 10.

Also check out the Least Common Multiple of 79360 and 79370