What is the Greatest Common Factor of 45376 and 45396?

Greatest common factor (GCF) of 45376 and 45396 is 4.

GCF(45376,45396) = 4

We will now calculate the prime factors of 45376 and 45396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45376 and 45396.

How to find the GCF of 45376 and 45396?

We will first find the prime factorization of 45376 and 45396. After we will calculate the factors of 45376 and 45396 and find the biggest common factor number .

Step-1: Prime Factorization of 45376

Prime factors of 45376 are 2, 709. Prime factorization of 45376 in exponential form is:

45376 = 2⁶ × 709¹

Step-2: Prime Factorization of 45396

Prime factors of 45396 are 2, 3, 13, 97. Prime factorization of 45396 in exponential form is:

45396 = 2² × 3² × 13¹ × 97¹

Step-3: Factors of 45376

List of positive integer factors of 45376 that divides 45376 without a remainder.

1, 2, 4, 8, 16, 32, 64, 709, 1418, 2836, 5672, 11344, 22688

Step-4: Factors of 45396

List of positive integer factors of 45396 that divides 45376 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 97, 117, 156, 194, 234, 291, 388, 468, 582, 873, 1164, 1261, 1746, 2522, 3492, 3783, 5044, 7566, 11349, 15132, 22698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45376 and 45396. The biggest common factor number is the GCF number.
So the greatest common factor 45376 and 45396 is 4.

Also check out the Least Common Multiple of 45376 and 45396