What is the Greatest Common Factor of 45672 and 45691?

Greatest common factor (GCF) of 45672 and 45691 is 1.

GCF(45672,45691) = 1

We will now calculate the prime factors of 45672 and 45691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45672 and 45691.

How to find the GCF of 45672 and 45691?

We will first find the prime factorization of 45672 and 45691. After we will calculate the factors of 45672 and 45691 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 45691

Prime factors of 45691 are 45691. Prime factorization of 45691 in exponential form is:

45691 = 45691¹

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 45691

List of positive integer factors of 45691 that divides 45672 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45672 and 45691. The biggest common factor number is the GCF number.
So the greatest common factor 45672 and 45691 is 1.

Also check out the Least Common Multiple of 45672 and 45691