What is the Greatest Common Factor of 29165 and 29175?

Greatest common factor (GCF) of 29165 and 29175 is 5.

GCF(29165,29175) = 5

We will now calculate the prime factors of 29165 and 29175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29165 and 29175.

How to find the GCF of 29165 and 29175?

We will first find the prime factorization of 29165 and 29175. After we will calculate the factors of 29165 and 29175 and find the biggest common factor number .

Step-1: Prime Factorization of 29165

Prime factors of 29165 are 5, 19, 307. Prime factorization of 29165 in exponential form is:

29165 = 5¹ × 19¹ × 307¹

Step-2: Prime Factorization of 29175

Prime factors of 29175 are 3, 5, 389. Prime factorization of 29175 in exponential form is:

29175 = 3¹ × 5² × 389¹

Step-3: Factors of 29165

List of positive integer factors of 29165 that divides 29165 without a remainder.

1, 5, 19, 95, 307, 1535, 5833

Step-4: Factors of 29175

List of positive integer factors of 29175 that divides 29165 without a remainder.

1, 3, 5, 15, 25, 75, 389, 1167, 1945, 5835, 9725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29165 and 29175. The biggest common factor number is the GCF number.
So the greatest common factor 29165 and 29175 is 5.

Also check out the Least Common Multiple of 29165 and 29175