What is the Greatest Common Factor of 52684 and 52696?

Greatest common factor (GCF) of 52684 and 52696 is 4.

GCF(52684,52696) = 4

We will now calculate the prime factors of 52684 and 52696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52684 and 52696.

How to find the GCF of 52684 and 52696?

We will first find the prime factorization of 52684 and 52696. After we will calculate the factors of 52684 and 52696 and find the biggest common factor number .

Step-1: Prime Factorization of 52684

Prime factors of 52684 are 2, 13171. Prime factorization of 52684 in exponential form is:

52684 = 2² × 13171¹

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 52684

List of positive integer factors of 52684 that divides 52684 without a remainder.

1, 2, 4, 13171, 26342

Step-4: Factors of 52696

List of positive integer factors of 52696 that divides 52684 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 52684 and 52696. The biggest common factor number is the GCF number.
So the greatest common factor 52684 and 52696 is 4.

Also check out the Least Common Multiple of 52684 and 52696