What is the Greatest Common Factor of 45414 and 45425?

Greatest common factor (GCF) of 45414 and 45425 is 1.

GCF(45414,45425) = 1

We will now calculate the prime factors of 45414 and 45425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45414 and 45425.

How to find the GCF of 45414 and 45425?

We will first find the prime factorization of 45414 and 45425. After we will calculate the factors of 45414 and 45425 and find the biggest common factor number .

Step-1: Prime Factorization of 45414

Prime factors of 45414 are 2, 3, 29. Prime factorization of 45414 in exponential form is:

45414 = 2¹ × 3³ × 29²

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 45414

List of positive integer factors of 45414 that divides 45414 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 841, 1566, 1682, 2523, 5046, 7569, 15138, 22707

Step-4: Factors of 45425

List of positive integer factors of 45425 that divides 45414 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 45414 and 45425. The biggest common factor number is the GCF number.
So the greatest common factor 45414 and 45425 is 1.

Also check out the Least Common Multiple of 45414 and 45425