What is the Greatest Common Factor of 53691 and 53702?

Greatest common factor (GCF) of 53691 and 53702 is 11.

GCF(53691,53702) = 11

We will now calculate the prime factors of 53691 and 53702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53691 and 53702.

How to find the GCF of 53691 and 53702?

We will first find the prime factorization of 53691 and 53702. After we will calculate the factors of 53691 and 53702 and find the biggest common factor number .

Step-1: Prime Factorization of 53691

Prime factors of 53691 are 3, 11, 1627. Prime factorization of 53691 in exponential form is:

53691 = 3¹ × 11¹ × 1627¹

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 53691

List of positive integer factors of 53691 that divides 53691 without a remainder.

1, 3, 11, 33, 1627, 4881, 17897

Step-4: Factors of 53702

List of positive integer factors of 53702 that divides 53691 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53691 and 53702. The biggest common factor number is the GCF number.
So the greatest common factor 53691 and 53702 is 11.

Also check out the Least Common Multiple of 53691 and 53702