What is the Greatest Common Factor of 46645 and 46664?

Greatest common factor (GCF) of 46645 and 46664 is 19.

GCF(46645,46664) = 19

We will now calculate the prime factors of 46645 and 46664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46645 and 46664.

How to find the GCF of 46645 and 46664?

We will first find the prime factorization of 46645 and 46664. After we will calculate the factors of 46645 and 46664 and find the biggest common factor number .

Step-1: Prime Factorization of 46645

Prime factors of 46645 are 5, 19, 491. Prime factorization of 46645 in exponential form is:

46645 = 5¹ × 19¹ × 491¹

Step-2: Prime Factorization of 46664

Prime factors of 46664 are 2, 19, 307. Prime factorization of 46664 in exponential form is:

46664 = 2³ × 19¹ × 307¹

Step-3: Factors of 46645

List of positive integer factors of 46645 that divides 46645 without a remainder.

1, 5, 19, 95, 491, 2455, 9329

Step-4: Factors of 46664

List of positive integer factors of 46664 that divides 46645 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 307, 614, 1228, 2456, 5833, 11666, 23332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46645 and 46664. The biggest common factor number is the GCF number.
So the greatest common factor 46645 and 46664 is 19.

Also check out the Least Common Multiple of 46645 and 46664