What is the Greatest Common Factor of 52336 and 52356?

Greatest common factor (GCF) of 52336 and 52356 is 4.

GCF(52336,52356) = 4

We will now calculate the prime factors of 52336 and 52356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52336 and 52356.

How to find the GCF of 52336 and 52356?

We will first find the prime factorization of 52336 and 52356. After we will calculate the factors of 52336 and 52356 and find the biggest common factor number .

Step-1: Prime Factorization of 52336

Prime factors of 52336 are 2, 3271. Prime factorization of 52336 in exponential form is:

52336 = 2⁴ × 3271¹

Step-2: Prime Factorization of 52356

Prime factors of 52356 are 2, 3, 4363. Prime factorization of 52356 in exponential form is:

52356 = 2² × 3¹ × 4363¹

Step-3: Factors of 52336

List of positive integer factors of 52336 that divides 52336 without a remainder.

1, 2, 4, 8, 16, 3271, 6542, 13084, 26168

Step-4: Factors of 52356

List of positive integer factors of 52356 that divides 52336 without a remainder.

1, 2, 3, 4, 6, 12, 4363, 8726, 13089, 17452, 26178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52336 and 52356. The biggest common factor number is the GCF number.
So the greatest common factor 52336 and 52356 is 4.

Also check out the Least Common Multiple of 52336 and 52356