What is the Greatest Common Factor of 47252 and 47264?

Greatest common factor (GCF) of 47252 and 47264 is 4.

GCF(47252,47264) = 4

We will now calculate the prime factors of 47252 and 47264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47252 and 47264.

How to find the GCF of 47252 and 47264?

We will first find the prime factorization of 47252 and 47264. After we will calculate the factors of 47252 and 47264 and find the biggest common factor number .

Step-1: Prime Factorization of 47252

Prime factors of 47252 are 2, 11813. Prime factorization of 47252 in exponential form is:

47252 = 2² × 11813¹

Step-2: Prime Factorization of 47264

Prime factors of 47264 are 2, 7, 211. Prime factorization of 47264 in exponential form is:

47264 = 2⁵ × 7¹ × 211¹

Step-3: Factors of 47252

List of positive integer factors of 47252 that divides 47252 without a remainder.

1, 2, 4, 11813, 23626

Step-4: Factors of 47264

List of positive integer factors of 47264 that divides 47252 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 211, 224, 422, 844, 1477, 1688, 2954, 3376, 5908, 6752, 11816, 23632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47252 and 47264. The biggest common factor number is the GCF number.
So the greatest common factor 47252 and 47264 is 4.

Also check out the Least Common Multiple of 47252 and 47264