What is the Greatest Common Factor of 53661 and 53679?

Greatest common factor (GCF) of 53661 and 53679 is 3.

GCF(53661,53679) = 3

We will now calculate the prime factors of 53661 and 53679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53661 and 53679.

How to find the GCF of 53661 and 53679?

We will first find the prime factorization of 53661 and 53679. After we will calculate the factors of 53661 and 53679 and find the biggest common factor number .

Step-1: Prime Factorization of 53661

Prime factors of 53661 are 3, 31, 577. Prime factorization of 53661 in exponential form is:

53661 = 3¹ × 31¹ × 577¹

Step-2: Prime Factorization of 53679

Prime factors of 53679 are 3, 29, 617. Prime factorization of 53679 in exponential form is:

53679 = 3¹ × 29¹ × 617¹

Step-3: Factors of 53661

List of positive integer factors of 53661 that divides 53661 without a remainder.

1, 3, 31, 93, 577, 1731, 17887

Step-4: Factors of 53679

List of positive integer factors of 53679 that divides 53661 without a remainder.

1, 3, 29, 87, 617, 1851, 17893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53661 and 53679. The biggest common factor number is the GCF number.
So the greatest common factor 53661 and 53679 is 3.

Also check out the Least Common Multiple of 53661 and 53679