What is the Greatest Common Factor of 8252 and 8272?

Greatest common factor (GCF) of 8252 and 8272 is 4.

GCF(8252,8272) = 4

We will now calculate the prime factors of 8252 and 8272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8252 and 8272.

How to find the GCF of 8252 and 8272?

We will first find the prime factorization of 8252 and 8272. After we will calculate the factors of 8252 and 8272 and find the biggest common factor number .

Step-1: Prime Factorization of 8252

Prime factors of 8252 are 2, 2063. Prime factorization of 8252 in exponential form is:

8252 = 2² × 2063¹

Step-2: Prime Factorization of 8272

Prime factors of 8272 are 2, 11, 47. Prime factorization of 8272 in exponential form is:

8272 = 2⁴ × 11¹ × 47¹

Step-3: Factors of 8252

List of positive integer factors of 8252 that divides 8252 without a remainder.

1, 2, 4, 2063, 4126

Step-4: Factors of 8272

List of positive integer factors of 8272 that divides 8252 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8252 and 8272. The biggest common factor number is the GCF number.
So the greatest common factor 8252 and 8272 is 4.

Also check out the Least Common Multiple of 8252 and 8272