What is the Greatest Common Factor of 57316 and 57334?

Greatest common factor (GCF) of 57316 and 57334 is 2.

GCF(57316,57334) = 2

We will now calculate the prime factors of 57316 and 57334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57316 and 57334.

How to find the GCF of 57316 and 57334?

We will first find the prime factorization of 57316 and 57334. After we will calculate the factors of 57316 and 57334 and find the biggest common factor number .

Step-1: Prime Factorization of 57316

Prime factors of 57316 are 2, 7, 23, 89. Prime factorization of 57316 in exponential form is:

57316 = 2² × 7¹ × 23¹ × 89¹

Step-2: Prime Factorization of 57334

Prime factors of 57334 are 2, 109, 263. Prime factorization of 57334 in exponential form is:

57334 = 2¹ × 109¹ × 263¹

Step-3: Factors of 57316

List of positive integer factors of 57316 that divides 57316 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 89, 92, 161, 178, 322, 356, 623, 644, 1246, 2047, 2492, 4094, 8188, 14329, 28658

Step-4: Factors of 57334

List of positive integer factors of 57334 that divides 57316 without a remainder.

1, 2, 109, 218, 263, 526, 28667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57316 and 57334. The biggest common factor number is the GCF number.
So the greatest common factor 57316 and 57334 is 2.

Also check out the Least Common Multiple of 57316 and 57334