What is the Greatest Common Factor of 45476 and 45486?

Greatest common factor (GCF) of 45476 and 45486 is 2.

GCF(45476,45486) = 2

We will now calculate the prime factors of 45476 and 45486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45476 and 45486.

How to find the GCF of 45476 and 45486?

We will first find the prime factorization of 45476 and 45486. After we will calculate the factors of 45476 and 45486 and find the biggest common factor number .

Step-1: Prime Factorization of 45476

Prime factors of 45476 are 2, 11369. Prime factorization of 45476 in exponential form is:

45476 = 2² × 11369¹

Step-2: Prime Factorization of 45486

Prime factors of 45486 are 2, 3, 7, 19. Prime factorization of 45486 in exponential form is:

45486 = 2¹ × 3² × 7¹ × 19²

Step-3: Factors of 45476

List of positive integer factors of 45476 that divides 45476 without a remainder.

1, 2, 4, 11369, 22738

Step-4: Factors of 45486

List of positive integer factors of 45486 that divides 45476 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 361, 399, 722, 798, 1083, 1197, 2166, 2394, 2527, 3249, 5054, 6498, 7581, 15162, 22743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45476 and 45486. The biggest common factor number is the GCF number.
So the greatest common factor 45476 and 45486 is 2.

Also check out the Least Common Multiple of 45476 and 45486