What is the Greatest Common Factor of 45464 and 45468?

Greatest common factor (GCF) of 45464 and 45468 is 4.

GCF(45464,45468) = 4

We will now calculate the prime factors of 45464 and 45468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45464 and 45468.

How to find the GCF of 45464 and 45468?

We will first find the prime factorization of 45464 and 45468. After we will calculate the factors of 45464 and 45468 and find the biggest common factor number .

Step-1: Prime Factorization of 45464

Prime factors of 45464 are 2, 5683. Prime factorization of 45464 in exponential form is:

45464 = 2³ × 5683¹

Step-2: Prime Factorization of 45468

Prime factors of 45468 are 2, 3, 421. Prime factorization of 45468 in exponential form is:

45468 = 2² × 3³ × 421¹

Step-3: Factors of 45464

List of positive integer factors of 45464 that divides 45464 without a remainder.

1, 2, 4, 8, 5683, 11366, 22732

Step-4: Factors of 45468

List of positive integer factors of 45468 that divides 45464 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 421, 842, 1263, 1684, 2526, 3789, 5052, 7578, 11367, 15156, 22734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45464 and 45468. The biggest common factor number is the GCF number.
So the greatest common factor 45464 and 45468 is 4.

Also check out the Least Common Multiple of 45464 and 45468