What is the Greatest Common Factor of 46614 and 46623?

Greatest common factor (GCF) of 46614 and 46623 is 3.

GCF(46614,46623) = 3

We will now calculate the prime factors of 46614 and 46623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46614 and 46623.

How to find the GCF of 46614 and 46623?

We will first find the prime factorization of 46614 and 46623. After we will calculate the factors of 46614 and 46623 and find the biggest common factor number .

Step-1: Prime Factorization of 46614

Prime factors of 46614 are 2, 3, 17, 457. Prime factorization of 46614 in exponential form is:

46614 = 2¹ × 3¹ × 17¹ × 457¹

Step-2: Prime Factorization of 46623

Prime factors of 46623 are 3, 15541. Prime factorization of 46623 in exponential form is:

46623 = 3¹ × 15541¹

Step-3: Factors of 46614

List of positive integer factors of 46614 that divides 46614 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 457, 914, 1371, 2742, 7769, 15538, 23307

Step-4: Factors of 46623

List of positive integer factors of 46623 that divides 46614 without a remainder.

1, 3, 15541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46614 and 46623. The biggest common factor number is the GCF number.
So the greatest common factor 46614 and 46623 is 3.

Also check out the Least Common Multiple of 46614 and 46623