What is the Greatest Common Factor of 46672 and 46680?

Greatest common factor (GCF) of 46672 and 46680 is 8.

GCF(46672,46680) = 8

We will now calculate the prime factors of 46672 and 46680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46672 and 46680.

How to find the GCF of 46672 and 46680?

We will first find the prime factorization of 46672 and 46680. After we will calculate the factors of 46672 and 46680 and find the biggest common factor number .

Step-1: Prime Factorization of 46672

Prime factors of 46672 are 2, 2917. Prime factorization of 46672 in exponential form is:

46672 = 2⁴ × 2917¹

Step-2: Prime Factorization of 46680

Prime factors of 46680 are 2, 3, 5, 389. Prime factorization of 46680 in exponential form is:

46680 = 2³ × 3¹ × 5¹ × 389¹

Step-3: Factors of 46672

List of positive integer factors of 46672 that divides 46672 without a remainder.

1, 2, 4, 8, 16, 2917, 5834, 11668, 23336

Step-4: Factors of 46680

List of positive integer factors of 46680 that divides 46672 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 389, 778, 1167, 1556, 1945, 2334, 3112, 3890, 4668, 5835, 7780, 9336, 11670, 15560, 23340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46672 and 46680. The biggest common factor number is the GCF number.
So the greatest common factor 46672 and 46680 is 8.

Also check out the Least Common Multiple of 46672 and 46680