What is the Greatest Common Factor of 46760 and 46772?

Greatest common factor (GCF) of 46760 and 46772 is 4.

GCF(46760,46772) = 4

We will now calculate the prime factors of 46760 and 46772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46760 and 46772.

How to find the GCF of 46760 and 46772?

We will first find the prime factorization of 46760 and 46772. After we will calculate the factors of 46760 and 46772 and find the biggest common factor number .

Step-1: Prime Factorization of 46760

Prime factors of 46760 are 2, 5, 7, 167. Prime factorization of 46760 in exponential form is:

46760 = 2³ × 5¹ × 7¹ × 167¹

Step-2: Prime Factorization of 46772

Prime factors of 46772 are 2, 11, 1063. Prime factorization of 46772 in exponential form is:

46772 = 2² × 11¹ × 1063¹

Step-3: Factors of 46760

List of positive integer factors of 46760 that divides 46760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 167, 280, 334, 668, 835, 1169, 1336, 1670, 2338, 3340, 4676, 5845, 6680, 9352, 11690, 23380

Step-4: Factors of 46772

List of positive integer factors of 46772 that divides 46760 without a remainder.

1, 2, 4, 11, 22, 44, 1063, 2126, 4252, 11693, 23386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46760 and 46772. The biggest common factor number is the GCF number.
So the greatest common factor 46760 and 46772 is 4.

Also check out the Least Common Multiple of 46760 and 46772