What is the Greatest Common Factor of 29625 and 29635?

Greatest common factor (GCF) of 29625 and 29635 is 5.

GCF(29625,29635) = 5

We will now calculate the prime factors of 29625 and 29635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29625 and 29635.

How to find the GCF of 29625 and 29635?

We will first find the prime factorization of 29625 and 29635. After we will calculate the factors of 29625 and 29635 and find the biggest common factor number .

Step-1: Prime Factorization of 29625

Prime factors of 29625 are 3, 5, 79. Prime factorization of 29625 in exponential form is:

29625 = 3¹ × 5³ × 79¹

Step-2: Prime Factorization of 29635

Prime factors of 29635 are 5, 5927. Prime factorization of 29635 in exponential form is:

29635 = 5¹ × 5927¹

Step-3: Factors of 29625

List of positive integer factors of 29625 that divides 29625 without a remainder.

1, 3, 5, 15, 25, 75, 79, 125, 237, 375, 395, 1185, 1975, 5925, 9875

Step-4: Factors of 29635

List of positive integer factors of 29635 that divides 29625 without a remainder.

1, 5, 5927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29625 and 29635. The biggest common factor number is the GCF number.
So the greatest common factor 29625 and 29635 is 5.

Also check out the Least Common Multiple of 29625 and 29635