What is the Greatest Common Factor of 61689 and 61695?

Greatest common factor (GCF) of 61689 and 61695 is 3.

GCF(61689,61695) = 3

We will now calculate the prime factors of 61689 and 61695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61689 and 61695.

How to find the GCF of 61689 and 61695?

We will first find the prime factorization of 61689 and 61695. After we will calculate the factors of 61689 and 61695 and find the biggest common factor number .

Step-1: Prime Factorization of 61689

Prime factors of 61689 are 3, 20563. Prime factorization of 61689 in exponential form is:

61689 = 3¹ × 20563¹

Step-2: Prime Factorization of 61695

Prime factors of 61695 are 3, 5, 457. Prime factorization of 61695 in exponential form is:

61695 = 3³ × 5¹ × 457¹

Step-3: Factors of 61689

List of positive integer factors of 61689 that divides 61689 without a remainder.

1, 3, 20563

Step-4: Factors of 61695

List of positive integer factors of 61695 that divides 61689 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 457, 1371, 2285, 4113, 6855, 12339, 20565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61689 and 61695. The biggest common factor number is the GCF number.
So the greatest common factor 61689 and 61695 is 3.

Also check out the Least Common Multiple of 61689 and 61695