What is the Greatest Common Factor of 2635 and 2647?

Greatest common factor (GCF) of 2635 and 2647 is 1.

GCF(2635,2647) = 1

We will now calculate the prime factors of 2635 and 2647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2635 and 2647.

How to find the GCF of 2635 and 2647?

We will first find the prime factorization of 2635 and 2647. After we will calculate the factors of 2635 and 2647 and find the biggest common factor number .

Step-1: Prime Factorization of 2635

Prime factors of 2635 are 5, 17, 31. Prime factorization of 2635 in exponential form is:

2635 = 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 2647

Prime factors of 2647 are 2647. Prime factorization of 2647 in exponential form is:

2647 = 2647¹

Step-3: Factors of 2635

List of positive integer factors of 2635 that divides 2635 without a remainder.

1, 5, 17, 31, 85, 155, 527

Step-4: Factors of 2647

List of positive integer factors of 2647 that divides 2635 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2635 and 2647. The biggest common factor number is the GCF number.
So the greatest common factor 2635 and 2647 is 1.

Also check out the Least Common Multiple of 2635 and 2647