What is the Greatest Common Factor of 45409 and 45414?

Greatest common factor (GCF) of 45409 and 45414 is 1.

GCF(45409,45414) = 1

We will now calculate the prime factors of 45409 and 45414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45409 and 45414.

How to find the GCF of 45409 and 45414?

We will first find the prime factorization of 45409 and 45414. After we will calculate the factors of 45409 and 45414 and find the biggest common factor number .

Step-1: Prime Factorization of 45409

Prime factors of 45409 are 7, 13, 499. Prime factorization of 45409 in exponential form is:

45409 = 7¹ × 13¹ × 499¹

Step-2: 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-3: Factors of 45409

List of positive integer factors of 45409 that divides 45409 without a remainder.

1, 7, 13, 91, 499, 3493, 6487

Step-4: Factors of 45414

List of positive integer factors of 45414 that divides 45409 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45409 and 45414. The biggest common factor number is the GCF number.
So the greatest common factor 45409 and 45414 is 1.

Also check out the Least Common Multiple of 45409 and 45414