What is the Greatest Common Factor of 45411 and 45420?

Greatest common factor (GCF) of 45411 and 45420 is 3.

GCF(45411,45420) = 3

We will now calculate the prime factors of 45411 and 45420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45411 and 45420.

How to find the GCF of 45411 and 45420?

We will first find the prime factorization of 45411 and 45420. After we will calculate the factors of 45411 and 45420 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 45420

Prime factors of 45420 are 2, 3, 5, 757. Prime factorization of 45420 in exponential form is:

45420 = 2² × 3¹ × 5¹ × 757¹

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 45420

List of positive integer factors of 45420 that divides 45411 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 757, 1514, 2271, 3028, 3785, 4542, 7570, 9084, 11355, 15140, 22710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45411 and 45420. The biggest common factor number is the GCF number.
So the greatest common factor 45411 and 45420 is 3.

Also check out the Least Common Multiple of 45411 and 45420