What is the Greatest Common Factor of 45414 and 45424?

Greatest common factor (GCF) of 45414 and 45424 is 2.

GCF(45414,45424) = 2

We will now calculate the prime factors of 45414 and 45424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45414 and 45424.

How to find the GCF of 45414 and 45424?

We will first find the prime factorization of 45414 and 45424. After we will calculate the factors of 45414 and 45424 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 45424

Prime factors of 45424 are 2, 17, 167. Prime factorization of 45424 in exponential form is:

45424 = 2⁴ × 17¹ × 167¹

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 45424

List of positive integer factors of 45424 that divides 45414 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 167, 272, 334, 668, 1336, 2672, 2839, 5678, 11356, 22712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45414 and 45424. The biggest common factor number is the GCF number.
So the greatest common factor 45414 and 45424 is 2.

Also check out the Least Common Multiple of 45414 and 45424