What is the Greatest Common Factor of 52688 and 52698?

Greatest common factor (GCF) of 52688 and 52698 is 2.

GCF(52688,52698) = 2

We will now calculate the prime factors of 52688 and 52698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52688 and 52698.

How to find the GCF of 52688 and 52698?

We will first find the prime factorization of 52688 and 52698. After we will calculate the factors of 52688 and 52698 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 52698

Prime factors of 52698 are 2, 3, 8783. Prime factorization of 52698 in exponential form is:

52698 = 2¹ × 3¹ × 8783¹

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 52698

List of positive integer factors of 52698 that divides 52688 without a remainder.

1, 2, 3, 6, 8783, 17566, 26349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52688 and 52698. The biggest common factor number is the GCF number.
So the greatest common factor 52688 and 52698 is 2.

Also check out the Least Common Multiple of 52688 and 52698