What is the Greatest Common Factor of 52352 and 52358?

Greatest common factor (GCF) of 52352 and 52358 is 2.

GCF(52352,52358) = 2

We will now calculate the prime factors of 52352 and 52358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52352 and 52358.

How to find the GCF of 52352 and 52358?

We will first find the prime factorization of 52352 and 52358. After we will calculate the factors of 52352 and 52358 and find the biggest common factor number .

Step-1: Prime Factorization of 52352

Prime factors of 52352 are 2, 409. Prime factorization of 52352 in exponential form is:

52352 = 2⁷ × 409¹

Step-2: Prime Factorization of 52358

Prime factors of 52358 are 2, 47, 557. Prime factorization of 52358 in exponential form is:

52358 = 2¹ × 47¹ × 557¹

Step-3: Factors of 52352

List of positive integer factors of 52352 that divides 52352 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 409, 818, 1636, 3272, 6544, 13088, 26176

Step-4: Factors of 52358

List of positive integer factors of 52358 that divides 52352 without a remainder.

1, 2, 47, 94, 557, 1114, 26179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52352 and 52358. The biggest common factor number is the GCF number.
So the greatest common factor 52352 and 52358 is 2.

Also check out the Least Common Multiple of 52352 and 52358