What is the Greatest Common Factor of 46560 and 46564?

Greatest common factor (GCF) of 46560 and 46564 is 4.

GCF(46560,46564) = 4

We will now calculate the prime factors of 46560 and 46564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46560 and 46564.

How to find the GCF of 46560 and 46564?

We will first find the prime factorization of 46560 and 46564. After we will calculate the factors of 46560 and 46564 and find the biggest common factor number .

Step-1: Prime Factorization of 46560

Prime factors of 46560 are 2, 3, 5, 97. Prime factorization of 46560 in exponential form is:

46560 = 2⁵ × 3¹ × 5¹ × 97¹

Step-2: Prime Factorization of 46564

Prime factors of 46564 are 2, 7, 1663. Prime factorization of 46564 in exponential form is:

46564 = 2² × 7¹ × 1663¹

Step-3: Factors of 46560

List of positive integer factors of 46560 that divides 46560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 97, 120, 160, 194, 240, 291, 388, 480, 485, 582, 776, 970, 1164, 1455, 1552, 1940, 2328, 2910, 3104, 3880, 4656, 5820, 7760, 9312, 11640, 15520, 23280

Step-4: Factors of 46564

List of positive integer factors of 46564 that divides 46560 without a remainder.

1, 2, 4, 7, 14, 28, 1663, 3326, 6652, 11641, 23282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46560 and 46564. The biggest common factor number is the GCF number.
So the greatest common factor 46560 and 46564 is 4.

Also check out the Least Common Multiple of 46560 and 46564