What is the Greatest Common Factor of 45465 and 45474?

Greatest common factor (GCF) of 45465 and 45474 is 3.

GCF(45465,45474) = 3

We will now calculate the prime factors of 45465 and 45474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45465 and 45474.

How to find the GCF of 45465 and 45474?

We will first find the prime factorization of 45465 and 45474. After we will calculate the factors of 45465 and 45474 and find the biggest common factor number .

Step-1: Prime Factorization of 45465

Prime factors of 45465 are 3, 5, 7, 433. Prime factorization of 45465 in exponential form is:

45465 = 3¹ × 5¹ × 7¹ × 433¹

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 45465

List of positive integer factors of 45465 that divides 45465 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 433, 1299, 2165, 3031, 6495, 9093, 15155

Step-4: Factors of 45474

List of positive integer factors of 45474 that divides 45465 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 45465 and 45474. The biggest common factor number is the GCF number.
So the greatest common factor 45465 and 45474 is 3.

Also check out the Least Common Multiple of 45465 and 45474