What is the Greatest Common Factor of 5254 and 5264?

Greatest common factor (GCF) of 5254 and 5264 is 2.

GCF(5254,5264) = 2

We will now calculate the prime factors of 5254 and 5264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5254 and 5264.

How to find the GCF of 5254 and 5264?

We will first find the prime factorization of 5254 and 5264. After we will calculate the factors of 5254 and 5264 and find the biggest common factor number .

Step-1: Prime Factorization of 5254

Prime factors of 5254 are 2, 37, 71. Prime factorization of 5254 in exponential form is:

5254 = 2¹ × 37¹ × 71¹

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 5254

List of positive integer factors of 5254 that divides 5254 without a remainder.

1, 2, 37, 71, 74, 142, 2627

Step-4: Factors of 5264

List of positive integer factors of 5264 that divides 5254 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 5254 and 5264. The biggest common factor number is the GCF number.
So the greatest common factor 5254 and 5264 is 2.

Also check out the Least Common Multiple of 5254 and 5264