What is the Greatest Common Factor of 52658 and 52672?

Greatest common factor (GCF) of 52658 and 52672 is 2.

GCF(52658,52672) = 2

We will now calculate the prime factors of 52658 and 52672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52658 and 52672.

How to find the GCF of 52658 and 52672?

We will first find the prime factorization of 52658 and 52672. After we will calculate the factors of 52658 and 52672 and find the biggest common factor number .

Step-1: Prime Factorization of 52658

Prime factors of 52658 are 2, 113, 233. Prime factorization of 52658 in exponential form is:

52658 = 2¹ × 113¹ × 233¹

Step-2: Prime Factorization of 52672

Prime factors of 52672 are 2, 823. Prime factorization of 52672 in exponential form is:

52672 = 2⁶ × 823¹

Step-3: Factors of 52658

List of positive integer factors of 52658 that divides 52658 without a remainder.

1, 2, 113, 226, 233, 466, 26329

Step-4: Factors of 52672

List of positive integer factors of 52672 that divides 52658 without a remainder.

1, 2, 4, 8, 16, 32, 64, 823, 1646, 3292, 6584, 13168, 26336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52658 and 52672. The biggest common factor number is the GCF number.
So the greatest common factor 52658 and 52672 is 2.

Also check out the Least Common Multiple of 52658 and 52672