What is the Greatest Common Factor of 61635 and 61647?

Greatest common factor (GCF) of 61635 and 61647 is 3.

GCF(61635,61647) = 3

We will now calculate the prime factors of 61635 and 61647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61635 and 61647.

How to find the GCF of 61635 and 61647?

We will first find the prime factorization of 61635 and 61647. After we will calculate the factors of 61635 and 61647 and find the biggest common factor number .

Step-1: Prime Factorization of 61635

Prime factors of 61635 are 3, 5, 7, 587. Prime factorization of 61635 in exponential form is:

61635 = 3¹ × 5¹ × 7¹ × 587¹

Step-2: Prime Factorization of 61647

Prime factors of 61647 are 3, 20549. Prime factorization of 61647 in exponential form is:

61647 = 3¹ × 20549¹

Step-3: Factors of 61635

List of positive integer factors of 61635 that divides 61635 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 587, 1761, 2935, 4109, 8805, 12327, 20545

Step-4: Factors of 61647

List of positive integer factors of 61647 that divides 61635 without a remainder.

1, 3, 20549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61635 and 61647. The biggest common factor number is the GCF number.
So the greatest common factor 61635 and 61647 is 3.

Also check out the Least Common Multiple of 61635 and 61647