What is the Greatest Common Factor of 45410 and 45420?

Greatest common factor (GCF) of 45410 and 45420 is 10.

GCF(45410,45420) = 10

We will now calculate the prime factors of 45410 and 45420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45410 and 45420.

How to find the GCF of 45410 and 45420?

We will first find the prime factorization of 45410 and 45420. After we will calculate the factors of 45410 and 45420 and find the biggest common factor number .

Step-1: Prime Factorization of 45410

Prime factors of 45410 are 2, 5, 19, 239. Prime factorization of 45410 in exponential form is:

45410 = 2¹ × 5¹ × 19¹ × 239¹

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 45410

List of positive integer factors of 45410 that divides 45410 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 239, 478, 1195, 2390, 4541, 9082, 22705

Step-4: Factors of 45420

List of positive integer factors of 45420 that divides 45410 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 45410 and 45420. The biggest common factor number is the GCF number.
So the greatest common factor 45410 and 45420 is 10.

Also check out the Least Common Multiple of 45410 and 45420