What is the Greatest Common Factor of 5264 and 5271?

Greatest common factor (GCF) of 5264 and 5271 is 7.

GCF(5264,5271) = 7

We will now calculate the prime factors of 5264 and 5271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5264 and 5271.

How to find the GCF of 5264 and 5271?

We will first find the prime factorization of 5264 and 5271. After we will calculate the factors of 5264 and 5271 and find the biggest common factor number .

Step-1: Prime Factorization of 5264

Prime factors of 5264 are 2, 7, 47. Prime factorization of 5264 in exponential form is:

5264 = 2⁴ × 7¹ × 47¹

Step-2: Prime Factorization of 5271

Prime factors of 5271 are 3, 7, 251. Prime factorization of 5271 in exponential form is:

5271 = 3¹ × 7¹ × 251¹

Step-3: Factors of 5264

List of positive integer factors of 5264 that divides 5264 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632

Step-4: Factors of 5271

List of positive integer factors of 5271 that divides 5264 without a remainder.

1, 3, 7, 21, 251, 753, 1757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5264 and 5271. The biggest common factor number is the GCF number.
So the greatest common factor 5264 and 5271 is 7.

Also check out the Least Common Multiple of 5264 and 5271