What is the Greatest Common Factor of 57280 and 57295?

Greatest common factor (GCF) of 57280 and 57295 is 5.

GCF(57280,57295) = 5

We will now calculate the prime factors of 57280 and 57295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57280 and 57295.

How to find the GCF of 57280 and 57295?

We will first find the prime factorization of 57280 and 57295. After we will calculate the factors of 57280 and 57295 and find the biggest common factor number .

Step-1: Prime Factorization of 57280

Prime factors of 57280 are 2, 5, 179. Prime factorization of 57280 in exponential form is:

57280 = 2⁶ × 5¹ × 179¹

Step-2: Prime Factorization of 57295

Prime factors of 57295 are 5, 7, 1637. Prime factorization of 57295 in exponential form is:

57295 = 5¹ × 7¹ × 1637¹

Step-3: Factors of 57280

List of positive integer factors of 57280 that divides 57280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 179, 320, 358, 716, 895, 1432, 1790, 2864, 3580, 5728, 7160, 11456, 14320, 28640

Step-4: Factors of 57295

List of positive integer factors of 57295 that divides 57280 without a remainder.

1, 5, 7, 35, 1637, 8185, 11459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57280 and 57295. The biggest common factor number is the GCF number.
So the greatest common factor 57280 and 57295 is 5.

Also check out the Least Common Multiple of 57280 and 57295