What is the Greatest Common Factor of 45664 and 45678?

Greatest common factor (GCF) of 45664 and 45678 is 2.

GCF(45664,45678) = 2

We will now calculate the prime factors of 45664 and 45678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45664 and 45678.

How to find the GCF of 45664 and 45678?

We will first find the prime factorization of 45664 and 45678. After we will calculate the factors of 45664 and 45678 and find the biggest common factor number .

Step-1: Prime Factorization of 45664

Prime factors of 45664 are 2, 1427. Prime factorization of 45664 in exponential form is:

45664 = 2⁵ × 1427¹

Step-2: Prime Factorization of 45678

Prime factors of 45678 are 2, 3, 23, 331. Prime factorization of 45678 in exponential form is:

45678 = 2¹ × 3¹ × 23¹ × 331¹

Step-3: Factors of 45664

List of positive integer factors of 45664 that divides 45664 without a remainder.

1, 2, 4, 8, 16, 32, 1427, 2854, 5708, 11416, 22832

Step-4: Factors of 45678

List of positive integer factors of 45678 that divides 45664 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 331, 662, 993, 1986, 7613, 15226, 22839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45664 and 45678. The biggest common factor number is the GCF number.
So the greatest common factor 45664 and 45678 is 2.

Also check out the Least Common Multiple of 45664 and 45678