What is the Greatest Common Factor of 53688 and 53702?

Greatest common factor (GCF) of 53688 and 53702 is 2.

GCF(53688,53702) = 2

We will now calculate the prime factors of 53688 and 53702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53688 and 53702.

How to find the GCF of 53688 and 53702?

We will first find the prime factorization of 53688 and 53702. After we will calculate the factors of 53688 and 53702 and find the biggest common factor number .

Step-1: Prime Factorization of 53688

Prime factors of 53688 are 2, 3, 2237. Prime factorization of 53688 in exponential form is:

53688 = 2³ × 3¹ × 2237¹

Step-2: Prime Factorization of 53702

Prime factors of 53702 are 2, 11, 2441. Prime factorization of 53702 in exponential form is:

53702 = 2¹ × 11¹ × 2441¹

Step-3: Factors of 53688

List of positive integer factors of 53688 that divides 53688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2237, 4474, 6711, 8948, 13422, 17896, 26844

Step-4: Factors of 53702

List of positive integer factors of 53702 that divides 53688 without a remainder.

1, 2, 11, 22, 2441, 4882, 26851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53688 and 53702. The biggest common factor number is the GCF number.
So the greatest common factor 53688 and 53702 is 2.

Also check out the Least Common Multiple of 53688 and 53702