What is the Greatest Common Factor of 45356 and 45376?

Greatest common factor (GCF) of 45356 and 45376 is 4.

GCF(45356,45376) = 4

We will now calculate the prime factors of 45356 and 45376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45356 and 45376.

How to find the GCF of 45356 and 45376?

We will first find the prime factorization of 45356 and 45376. After we will calculate the factors of 45356 and 45376 and find the biggest common factor number .

Step-1: Prime Factorization of 45356

Prime factors of 45356 are 2, 17, 23, 29. Prime factorization of 45356 in exponential form is:

45356 = 2² × 17¹ × 23¹ × 29¹

Step-2: Prime Factorization of 45376

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

45376 = 2⁶ × 709¹

Step-3: Factors of 45356

List of positive integer factors of 45356 that divides 45356 without a remainder.

1, 2, 4, 17, 23, 29, 34, 46, 58, 68, 92, 116, 391, 493, 667, 782, 986, 1334, 1564, 1972, 2668, 11339, 22678

Step-4: Factors of 45376

List of positive integer factors of 45376 that divides 45356 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45356 and 45376. The biggest common factor number is the GCF number.
So the greatest common factor 45356 and 45376 is 4.

Also check out the Least Common Multiple of 45356 and 45376