What is the Greatest Common Factor of 57260 and 57274?

Greatest common factor (GCF) of 57260 and 57274 is 14.

GCF(57260,57274) = 14

We will now calculate the prime factors of 57260 and 57274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57260 and 57274.

How to find the GCF of 57260 and 57274?

We will first find the prime factorization of 57260 and 57274. After we will calculate the factors of 57260 and 57274 and find the biggest common factor number .

Step-1: Prime Factorization of 57260

Prime factors of 57260 are 2, 5, 7, 409. Prime factorization of 57260 in exponential form is:

57260 = 2² × 5¹ × 7¹ × 409¹

Step-2: Prime Factorization of 57274

Prime factors of 57274 are 2, 7, 4091. Prime factorization of 57274 in exponential form is:

57274 = 2¹ × 7¹ × 4091¹

Step-3: Factors of 57260

List of positive integer factors of 57260 that divides 57260 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 409, 818, 1636, 2045, 2863, 4090, 5726, 8180, 11452, 14315, 28630

Step-4: Factors of 57274

List of positive integer factors of 57274 that divides 57260 without a remainder.

1, 2, 7, 14, 4091, 8182, 28637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57260 and 57274. The biggest common factor number is the GCF number.
So the greatest common factor 57260 and 57274 is 14.

Also check out the Least Common Multiple of 57260 and 57274