What is the Greatest Common Factor of 2629 and 2635?

Greatest common factor (GCF) of 2629 and 2635 is 1.

GCF(2629,2635) = 1

We will now calculate the prime factors of 2629 and 2635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2629 and 2635.

How to find the GCF of 2629 and 2635?

We will first find the prime factorization of 2629 and 2635. After we will calculate the factors of 2629 and 2635 and find the biggest common factor number .

Step-1: Prime Factorization of 2629

Prime factors of 2629 are 11, 239. Prime factorization of 2629 in exponential form is:

2629 = 11¹ × 239¹

Step-2: 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-3: Factors of 2629

List of positive integer factors of 2629 that divides 2629 without a remainder.

1, 11, 239

Step-4: Factors of 2635

List of positive integer factors of 2635 that divides 2629 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2629 and 2635. The biggest common factor number is the GCF number.
So the greatest common factor 2629 and 2635 is 1.

Also check out the Least Common Multiple of 2629 and 2635