What is the Greatest Common Factor of 52682 and 52696?

Greatest common factor (GCF) of 52682 and 52696 is 14.

GCF(52682,52696) = 14

We will now calculate the prime factors of 52682 and 52696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52682 and 52696.

How to find the GCF of 52682 and 52696?

We will first find the prime factorization of 52682 and 52696. After we will calculate the factors of 52682 and 52696 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52696

Prime factors of 52696 are 2, 7, 941. Prime factorization of 52696 in exponential form is:

52696 = 2³ × 7¹ × 941¹

Step-3: Factors of 52682

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

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

Step-4: Factors of 52696

List of positive integer factors of 52696 that divides 52682 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 941, 1882, 3764, 6587, 7528, 13174, 26348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52682 and 52696. The biggest common factor number is the GCF number.
So the greatest common factor 52682 and 52696 is 14.

Also check out the Least Common Multiple of 52682 and 52696