What is the Greatest Common Factor of 53672 and 53691?

Greatest common factor (GCF) of 53672 and 53691 is 1.

GCF(53672,53691) = 1

We will now calculate the prime factors of 53672 and 53691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53672 and 53691.

How to find the GCF of 53672 and 53691?

We will first find the prime factorization of 53672 and 53691. After we will calculate the factors of 53672 and 53691 and find the biggest common factor number .

Step-1: Prime Factorization of 53672

Prime factors of 53672 are 2, 6709. Prime factorization of 53672 in exponential form is:

53672 = 2³ × 6709¹

Step-2: 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-3: Factors of 53672

List of positive integer factors of 53672 that divides 53672 without a remainder.

1, 2, 4, 8, 6709, 13418, 26836

Step-4: Factors of 53691

List of positive integer factors of 53691 that divides 53672 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53672 and 53691. The biggest common factor number is the GCF number.
So the greatest common factor 53672 and 53691 is 1.

Also check out the Least Common Multiple of 53672 and 53691