What is the Greatest Common Factor of 45672 and 45687?

Greatest common factor (GCF) of 45672 and 45687 is 3.

GCF(45672,45687) = 3

We will now calculate the prime factors of 45672 and 45687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45672 and 45687.

How to find the GCF of 45672 and 45687?

We will first find the prime factorization of 45672 and 45687. After we will calculate the factors of 45672 and 45687 and find the biggest common factor number .

Step-1: Prime Factorization of 45672

Prime factors of 45672 are 2, 3, 11, 173. Prime factorization of 45672 in exponential form is:

45672 = 2³ × 3¹ × 11¹ × 173¹

Step-2: Prime Factorization of 45687

Prime factors of 45687 are 3, 97, 157. Prime factorization of 45687 in exponential form is:

45687 = 3¹ × 97¹ × 157¹

Step-3: Factors of 45672

List of positive integer factors of 45672 that divides 45672 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 173, 264, 346, 519, 692, 1038, 1384, 1903, 2076, 3806, 4152, 5709, 7612, 11418, 15224, 22836

Step-4: Factors of 45687

List of positive integer factors of 45687 that divides 45672 without a remainder.

1, 3, 97, 157, 291, 471, 15229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45672 and 45687. The biggest common factor number is the GCF number.
So the greatest common factor 45672 and 45687 is 3.

Also check out the Least Common Multiple of 45672 and 45687