What is the Greatest Common Factor of 5264 and 5284?

Greatest common factor (GCF) of 5264 and 5284 is 4.

GCF(5264,5284) = 4

We will now calculate the prime factors of 5264 and 5284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5264 and 5284.

How to find the GCF of 5264 and 5284?

We will first find the prime factorization of 5264 and 5284. After we will calculate the factors of 5264 and 5284 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 5284

Prime factors of 5284 are 2, 1321. Prime factorization of 5284 in exponential form is:

5284 = 2² × 1321¹

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 5284

List of positive integer factors of 5284 that divides 5264 without a remainder.

1, 2, 4, 1321, 2642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5264 and 5284. The biggest common factor number is the GCF number.
So the greatest common factor 5264 and 5284 is 4.

Also check out the Least Common Multiple of 5264 and 5284