What is the Greatest Common Factor of 45414 and 45432?

Greatest common factor (GCF) of 45414 and 45432 is 18.

GCF(45414,45432) = 18

We will now calculate the prime factors of 45414 and 45432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45414 and 45432.

How to find the GCF of 45414 and 45432?

We will first find the prime factorization of 45414 and 45432. After we will calculate the factors of 45414 and 45432 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 45432

Prime factors of 45432 are 2, 3, 631. Prime factorization of 45432 in exponential form is:

45432 = 2³ × 3² × 631¹

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 45432

List of positive integer factors of 45432 that divides 45414 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 631, 1262, 1893, 2524, 3786, 5048, 5679, 7572, 11358, 15144, 22716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45414 and 45432. The biggest common factor number is the GCF number.
So the greatest common factor 45414 and 45432 is 18.

Also check out the Least Common Multiple of 45414 and 45432