What is the Greatest Common Factor of 45410 and 45425?

Greatest common factor (GCF) of 45410 and 45425 is 5.

GCF(45410,45425) = 5

We will now calculate the prime factors of 45410 and 45425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45410 and 45425.

How to find the GCF of 45410 and 45425?

We will first find the prime factorization of 45410 and 45425. After we will calculate the factors of 45410 and 45425 and find the biggest common factor number .

Step-1: Prime Factorization of 45410

Prime factors of 45410 are 2, 5, 19, 239. Prime factorization of 45410 in exponential form is:

45410 = 2¹ × 5¹ × 19¹ × 239¹

Step-2: Prime Factorization of 45425

Prime factors of 45425 are 5, 23, 79. Prime factorization of 45425 in exponential form is:

45425 = 5² × 23¹ × 79¹

Step-3: Factors of 45410

List of positive integer factors of 45410 that divides 45410 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 239, 478, 1195, 2390, 4541, 9082, 22705

Step-4: Factors of 45425

List of positive integer factors of 45425 that divides 45410 without a remainder.

1, 5, 23, 25, 79, 115, 395, 575, 1817, 1975, 9085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45410 and 45425. The biggest common factor number is the GCF number.
So the greatest common factor 45410 and 45425 is 5.

Also check out the Least Common Multiple of 45410 and 45425