What is the Greatest Common Factor of 57302 and 57316?

Greatest common factor (GCF) of 57302 and 57316 is 14.

GCF(57302,57316) = 14

We will now calculate the prime factors of 57302 and 57316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57302 and 57316.

How to find the GCF of 57302 and 57316?

We will first find the prime factorization of 57302 and 57316. After we will calculate the factors of 57302 and 57316 and find the biggest common factor number .

Step-1: Prime Factorization of 57302

Prime factors of 57302 are 2, 7, 4093. Prime factorization of 57302 in exponential form is:

57302 = 2¹ × 7¹ × 4093¹

Step-2: 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-3: Factors of 57302

List of positive integer factors of 57302 that divides 57302 without a remainder.

1, 2, 7, 14, 4093, 8186, 28651

Step-4: Factors of 57316

List of positive integer factors of 57316 that divides 57302 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57302 and 57316. The biggest common factor number is the GCF number.
So the greatest common factor 57302 and 57316 is 14.

Also check out the Least Common Multiple of 57302 and 57316