What is the Greatest Common Factor of 45465 and 45475?

Greatest common factor (GCF) of 45465 and 45475 is 5.

GCF(45465,45475) = 5

We will now calculate the prime factors of 45465 and 45475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45465 and 45475.

How to find the GCF of 45465 and 45475?

We will first find the prime factorization of 45465 and 45475. After we will calculate the factors of 45465 and 45475 and find the biggest common factor number .

Step-1: Prime Factorization of 45465

Prime factors of 45465 are 3, 5, 7, 433. Prime factorization of 45465 in exponential form is:

45465 = 3¹ × 5¹ × 7¹ × 433¹

Step-2: Prime Factorization of 45475

Prime factors of 45475 are 5, 17, 107. Prime factorization of 45475 in exponential form is:

45475 = 5² × 17¹ × 107¹

Step-3: Factors of 45465

List of positive integer factors of 45465 that divides 45465 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 433, 1299, 2165, 3031, 6495, 9093, 15155

Step-4: Factors of 45475

List of positive integer factors of 45475 that divides 45465 without a remainder.

1, 5, 17, 25, 85, 107, 425, 535, 1819, 2675, 9095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45465 and 45475. The biggest common factor number is the GCF number.
So the greatest common factor 45465 and 45475 is 5.

Also check out the Least Common Multiple of 45465 and 45475