What is the Greatest Common Factor of 45460 and 45474?

Greatest common factor (GCF) of 45460 and 45474 is 2.

GCF(45460,45474) = 2

We will now calculate the prime factors of 45460 and 45474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45460 and 45474.

How to find the GCF of 45460 and 45474?

We will first find the prime factorization of 45460 and 45474. After we will calculate the factors of 45460 and 45474 and find the biggest common factor number .

Step-1: Prime Factorization of 45460

Prime factors of 45460 are 2, 5, 2273. Prime factorization of 45460 in exponential form is:

45460 = 2² × 5¹ × 2273¹

Step-2: Prime Factorization of 45474

Prime factors of 45474 are 2, 3, 11, 13, 53. Prime factorization of 45474 in exponential form is:

45474 = 2¹ × 3¹ × 11¹ × 13¹ × 53¹

Step-3: Factors of 45460

List of positive integer factors of 45460 that divides 45460 without a remainder.

1, 2, 4, 5, 10, 20, 2273, 4546, 9092, 11365, 22730

Step-4: Factors of 45474

List of positive integer factors of 45474 that divides 45460 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 53, 66, 78, 106, 143, 159, 286, 318, 429, 583, 689, 858, 1166, 1378, 1749, 2067, 3498, 4134, 7579, 15158, 22737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45460 and 45474. The biggest common factor number is the GCF number.
So the greatest common factor 45460 and 45474 is 2.

Also check out the Least Common Multiple of 45460 and 45474