What is the Greatest Common Factor of 45605 and 45625?

Greatest common factor (GCF) of 45605 and 45625 is 5.

GCF(45605,45625) = 5

We will now calculate the prime factors of 45605 and 45625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45605 and 45625.

How to find the GCF of 45605 and 45625?

We will first find the prime factorization of 45605 and 45625. After we will calculate the factors of 45605 and 45625 and find the biggest common factor number .

Step-1: Prime Factorization of 45605

Prime factors of 45605 are 5, 7, 1303. Prime factorization of 45605 in exponential form is:

45605 = 5¹ × 7¹ × 1303¹

Step-2: Prime Factorization of 45625

Prime factors of 45625 are 5, 73. Prime factorization of 45625 in exponential form is:

45625 = 5⁴ × 73¹

Step-3: Factors of 45605

List of positive integer factors of 45605 that divides 45605 without a remainder.

1, 5, 7, 35, 1303, 6515, 9121

Step-4: Factors of 45625

List of positive integer factors of 45625 that divides 45605 without a remainder.

1, 5, 25, 73, 125, 365, 625, 1825, 9125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45605 and 45625. The biggest common factor number is the GCF number.
So the greatest common factor 45605 and 45625 is 5.

Also check out the Least Common Multiple of 45605 and 45625