What is the Greatest Common Factor of 29045 and 29065?

Greatest common factor (GCF) of 29045 and 29065 is 5.

GCF(29045,29065) = 5

We will now calculate the prime factors of 29045 and 29065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29045 and 29065.

How to find the GCF of 29045 and 29065?

We will first find the prime factorization of 29045 and 29065. After we will calculate the factors of 29045 and 29065 and find the biggest common factor number .

Step-1: Prime Factorization of 29045

Prime factors of 29045 are 5, 37, 157. Prime factorization of 29045 in exponential form is:

29045 = 5¹ × 37¹ × 157¹

Step-2: Prime Factorization of 29065

Prime factors of 29065 are 5, 5813. Prime factorization of 29065 in exponential form is:

29065 = 5¹ × 5813¹

Step-3: Factors of 29045

List of positive integer factors of 29045 that divides 29045 without a remainder.

1, 5, 37, 157, 185, 785, 5809

Step-4: Factors of 29065

List of positive integer factors of 29065 that divides 29045 without a remainder.

1, 5, 5813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29045 and 29065. The biggest common factor number is the GCF number.
So the greatest common factor 29045 and 29065 is 5.

Also check out the Least Common Multiple of 29045 and 29065