What is the Greatest Common Factor of 45407 and 45414?

Greatest common factor (GCF) of 45407 and 45414 is 1.

GCF(45407,45414) = 1

We will now calculate the prime factors of 45407 and 45414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45407 and 45414.

How to find the GCF of 45407 and 45414?

We will first find the prime factorization of 45407 and 45414. After we will calculate the factors of 45407 and 45414 and find the biggest common factor number .

Step-1: Prime Factorization of 45407

Prime factors of 45407 are 17, 2671. Prime factorization of 45407 in exponential form is:

45407 = 17¹ × 2671¹

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 45407

List of positive integer factors of 45407 that divides 45407 without a remainder.

1, 17, 2671

Step-4: Factors of 45414

List of positive integer factors of 45414 that divides 45407 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 45407 and 45414. The biggest common factor number is the GCF number.
So the greatest common factor 45407 and 45414 is 1.

Also check out the Least Common Multiple of 45407 and 45414