What is the Greatest Common Factor of 45458 and 45468?

Greatest common factor (GCF) of 45458 and 45468 is 2.

GCF(45458,45468) = 2

We will now calculate the prime factors of 45458 and 45468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45458 and 45468.

How to find the GCF of 45458 and 45468?

We will first find the prime factorization of 45458 and 45468. After we will calculate the factors of 45458 and 45468 and find the biggest common factor number .

Step-1: Prime Factorization of 45458

Prime factors of 45458 are 2, 7, 17, 191. Prime factorization of 45458 in exponential form is:

45458 = 2¹ × 7¹ × 17¹ × 191¹

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 45458

List of positive integer factors of 45458 that divides 45458 without a remainder.

1, 2, 7, 14, 17, 34, 119, 191, 238, 382, 1337, 2674, 3247, 6494, 22729

Step-4: Factors of 45468

List of positive integer factors of 45468 that divides 45458 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 45458 and 45468. The biggest common factor number is the GCF number.
So the greatest common factor 45458 and 45468 is 2.

Also check out the Least Common Multiple of 45458 and 45468