What is the Greatest Common Factor of 45250 and 45265?

Greatest common factor (GCF) of 45250 and 45265 is 5.

GCF(45250,45265) = 5

We will now calculate the prime factors of 45250 and 45265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45250 and 45265.

How to find the GCF of 45250 and 45265?

We will first find the prime factorization of 45250 and 45265. After we will calculate the factors of 45250 and 45265 and find the biggest common factor number .

Step-1: Prime Factorization of 45250

Prime factors of 45250 are 2, 5, 181. Prime factorization of 45250 in exponential form is:

45250 = 2¹ × 5³ × 181¹

Step-2: Prime Factorization of 45265

Prime factors of 45265 are 5, 11, 823. Prime factorization of 45265 in exponential form is:

45265 = 5¹ × 11¹ × 823¹

Step-3: Factors of 45250

List of positive integer factors of 45250 that divides 45250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 181, 250, 362, 905, 1810, 4525, 9050, 22625

Step-4: Factors of 45265

List of positive integer factors of 45265 that divides 45250 without a remainder.

1, 5, 11, 55, 823, 4115, 9053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45250 and 45265. The biggest common factor number is the GCF number.
So the greatest common factor 45250 and 45265 is 5.

Also check out the Least Common Multiple of 45250 and 45265