What is the Greatest Common Factor of 57280 and 57290?

Greatest common factor (GCF) of 57280 and 57290 is 10.

GCF(57280,57290) = 10

We will now calculate the prime factors of 57280 and 57290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57280 and 57290.

How to find the GCF of 57280 and 57290?

We will first find the prime factorization of 57280 and 57290. After we will calculate the factors of 57280 and 57290 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 57290

Prime factors of 57290 are 2, 5, 17, 337. Prime factorization of 57290 in exponential form is:

57290 = 2¹ × 5¹ × 17¹ × 337¹

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 57290

List of positive integer factors of 57290 that divides 57280 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 337, 674, 1685, 3370, 5729, 11458, 28645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57280 and 57290. The biggest common factor number is the GCF number.
So the greatest common factor 57280 and 57290 is 10.

Also check out the Least Common Multiple of 57280 and 57290