What is the Greatest Common Factor of 53685 and 53697?

Greatest common factor (GCF) of 53685 and 53697 is 3.

GCF(53685,53697) = 3

We will now calculate the prime factors of 53685 and 53697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53685 and 53697.

How to find the GCF of 53685 and 53697?

We will first find the prime factorization of 53685 and 53697. After we will calculate the factors of 53685 and 53697 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53697

Prime factors of 53697 are 3, 7, 2557. Prime factorization of 53697 in exponential form is:

53697 = 3¹ × 7¹ × 2557¹

Step-3: Factors of 53685

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

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

Step-4: Factors of 53697

List of positive integer factors of 53697 that divides 53685 without a remainder.

1, 3, 7, 21, 2557, 7671, 17899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53685 and 53697. The biggest common factor number is the GCF number.
So the greatest common factor 53685 and 53697 is 3.

Also check out the Least Common Multiple of 53685 and 53697