What is the Greatest Common Factor of 52688 and 52694?

Greatest common factor (GCF) of 52688 and 52694 is 2.

GCF(52688,52694) = 2

We will now calculate the prime factors of 52688 and 52694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52688 and 52694.

How to find the GCF of 52688 and 52694?

We will first find the prime factorization of 52688 and 52694. After we will calculate the factors of 52688 and 52694 and find the biggest common factor number .

Step-1: Prime Factorization of 52688

Prime factors of 52688 are 2, 37, 89. Prime factorization of 52688 in exponential form is:

52688 = 2⁴ × 37¹ × 89¹

Step-2: Prime Factorization of 52694

Prime factors of 52694 are 2, 26347. Prime factorization of 52694 in exponential form is:

52694 = 2¹ × 26347¹

Step-3: Factors of 52688

List of positive integer factors of 52688 that divides 52688 without a remainder.

1, 2, 4, 8, 16, 37, 74, 89, 148, 178, 296, 356, 592, 712, 1424, 3293, 6586, 13172, 26344

Step-4: Factors of 52694

List of positive integer factors of 52694 that divides 52688 without a remainder.

1, 2, 26347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52688 and 52694. The biggest common factor number is the GCF number.
So the greatest common factor 52688 and 52694 is 2.

Also check out the Least Common Multiple of 52688 and 52694