What is the Greatest Common Factor of 45411 and 45424?

Greatest common factor (GCF) of 45411 and 45424 is 1.

GCF(45411,45424) = 1

We will now calculate the prime factors of 45411 and 45424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45411 and 45424.

How to find the GCF of 45411 and 45424?

We will first find the prime factorization of 45411 and 45424. After we will calculate the factors of 45411 and 45424 and find the biggest common factor number .

Step-1: Prime Factorization of 45411

Prime factors of 45411 are 3, 15137. Prime factorization of 45411 in exponential form is:

45411 = 3¹ × 15137¹

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 45411

List of positive integer factors of 45411 that divides 45411 without a remainder.

1, 3, 15137

Step-4: Factors of 45424

List of positive integer factors of 45424 that divides 45411 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 45411 and 45424. The biggest common factor number is the GCF number.
So the greatest common factor 45411 and 45424 is 1.

Also check out the Least Common Multiple of 45411 and 45424