What is the Greatest Common Factor of 57274 and 57281?

Greatest common factor (GCF) of 57274 and 57281 is 7.

GCF(57274,57281) = 7

We will now calculate the prime factors of 57274 and 57281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57274 and 57281.

How to find the GCF of 57274 and 57281?

We will first find the prime factorization of 57274 and 57281. After we will calculate the factors of 57274 and 57281 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57281

Prime factors of 57281 are 7, 167. Prime factorization of 57281 in exponential form is:

57281 = 7³ × 167¹

Step-3: Factors of 57274

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

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

Step-4: Factors of 57281

List of positive integer factors of 57281 that divides 57274 without a remainder.

1, 7, 49, 167, 343, 1169, 8183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57274 and 57281. The biggest common factor number is the GCF number.
So the greatest common factor 57274 and 57281 is 7.

Also check out the Least Common Multiple of 57274 and 57281