What is the Greatest Common Factor of 46564 and 46578?

Greatest common factor (GCF) of 46564 and 46578 is 14.

GCF(46564,46578) = 14

We will now calculate the prime factors of 46564 and 46578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46564 and 46578.

How to find the GCF of 46564 and 46578?

We will first find the prime factorization of 46564 and 46578. After we will calculate the factors of 46564 and 46578 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46578

Prime factors of 46578 are 2, 3, 7, 1109. Prime factorization of 46578 in exponential form is:

46578 = 2¹ × 3¹ × 7¹ × 1109¹

Step-3: Factors of 46564

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

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

Step-4: Factors of 46578

List of positive integer factors of 46578 that divides 46564 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1109, 2218, 3327, 6654, 7763, 15526, 23289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46564 and 46578. The biggest common factor number is the GCF number.
So the greatest common factor 46564 and 46578 is 14.

Also check out the Least Common Multiple of 46564 and 46578