What is the Greatest Common Factor of 45432 and 45444?

Greatest common factor (GCF) of 45432 and 45444 is 12.

GCF(45432,45444) = 12

We will now calculate the prime factors of 45432 and 45444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45432 and 45444.

How to find the GCF of 45432 and 45444?

We will first find the prime factorization of 45432 and 45444. After we will calculate the factors of 45432 and 45444 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45444

Prime factors of 45444 are 2, 3, 7, 541. Prime factorization of 45444 in exponential form is:

45444 = 2² × 3¹ × 7¹ × 541¹

Step-3: Factors of 45432

List of positive integer factors of 45432 that divides 45432 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

Step-4: Factors of 45444

List of positive integer factors of 45444 that divides 45432 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 541, 1082, 1623, 2164, 3246, 3787, 6492, 7574, 11361, 15148, 22722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45432 and 45444. The biggest common factor number is the GCF number.
So the greatest common factor 45432 and 45444 is 12.

Also check out the Least Common Multiple of 45432 and 45444