What is the Greatest Common Factor of 45175 and 45190?

Greatest common factor (GCF) of 45175 and 45190 is 5.

GCF(45175,45190) = 5

We will now calculate the prime factors of 45175 and 45190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45175 and 45190.

How to find the GCF of 45175 and 45190?

We will first find the prime factorization of 45175 and 45190. After we will calculate the factors of 45175 and 45190 and find the biggest common factor number .

Step-1: Prime Factorization of 45175

Prime factors of 45175 are 5, 13, 139. Prime factorization of 45175 in exponential form is:

45175 = 5² × 13¹ × 139¹

Step-2: Prime Factorization of 45190

Prime factors of 45190 are 2, 5, 4519. Prime factorization of 45190 in exponential form is:

45190 = 2¹ × 5¹ × 4519¹

Step-3: Factors of 45175

List of positive integer factors of 45175 that divides 45175 without a remainder.

1, 5, 13, 25, 65, 139, 325, 695, 1807, 3475, 9035

Step-4: Factors of 45190

List of positive integer factors of 45190 that divides 45175 without a remainder.

1, 2, 5, 10, 4519, 9038, 22595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45175 and 45190. The biggest common factor number is the GCF number.
So the greatest common factor 45175 and 45190 is 5.

Also check out the Least Common Multiple of 45175 and 45190