What is the Greatest Common Factor of 5249 and 5264?

Greatest common factor (GCF) of 5249 and 5264 is 1.

GCF(5249,5264) = 1

We will now calculate the prime factors of 5249 and 5264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5249 and 5264.

How to find the GCF of 5249 and 5264?

We will first find the prime factorization of 5249 and 5264. After we will calculate the factors of 5249 and 5264 and find the biggest common factor number .

Step-1: Prime Factorization of 5249

Prime factors of 5249 are 29, 181. Prime factorization of 5249 in exponential form is:

5249 = 29¹ × 181¹

Step-2: 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-3: Factors of 5249

List of positive integer factors of 5249 that divides 5249 without a remainder.

1, 29, 181

Step-4: Factors of 5264

List of positive integer factors of 5264 that divides 5249 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5249 and 5264. The biggest common factor number is the GCF number.
So the greatest common factor 5249 and 5264 is 1.

Also check out the Least Common Multiple of 5249 and 5264