What is the Greatest Common Factor of 53679 and 53685?

Greatest common factor (GCF) of 53679 and 53685 is 3.

GCF(53679,53685) = 3

We will now calculate the prime factors of 53679 and 53685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53679 and 53685.

How to find the GCF of 53679 and 53685?

We will first find the prime factorization of 53679 and 53685. After we will calculate the factors of 53679 and 53685 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53685

Prime factors of 53685 are 3, 5, 1193. Prime factorization of 53685 in exponential form is:

53685 = 3² × 5¹ × 1193¹

Step-3: Factors of 53679

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

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

Step-4: Factors of 53685

List of positive integer factors of 53685 that divides 53679 without a remainder.

1, 3, 5, 9, 15, 45, 1193, 3579, 5965, 10737, 17895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53679 and 53685. The biggest common factor number is the GCF number.
So the greatest common factor 53679 and 53685 is 3.

Also check out the Least Common Multiple of 53679 and 53685