What is the Greatest Common Factor of 52672 and 52682?

Greatest common factor (GCF) of 52672 and 52682 is 2.

GCF(52672,52682) = 2

We will now calculate the prime factors of 52672 and 52682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52672 and 52682.

How to find the GCF of 52672 and 52682?

We will first find the prime factorization of 52672 and 52682. After we will calculate the factors of 52672 and 52682 and find the biggest common factor number .

Step-1: Prime Factorization of 52672

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

52672 = 2⁶ × 823¹

Step-2: Prime Factorization of 52682

Prime factors of 52682 are 2, 7, 53, 71. Prime factorization of 52682 in exponential form is:

52682 = 2¹ × 7¹ × 53¹ × 71¹

Step-3: Factors of 52672

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

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

Step-4: Factors of 52682

List of positive integer factors of 52682 that divides 52672 without a remainder.

1, 2, 7, 14, 53, 71, 106, 142, 371, 497, 742, 994, 3763, 7526, 26341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52672 and 52682. The biggest common factor number is the GCF number.
So the greatest common factor 52672 and 52682 is 2.

Also check out the Least Common Multiple of 52672 and 52682