What is the Greatest Common Factor of 45224 and 45232?

Greatest common factor (GCF) of 45224 and 45232 is 8.

GCF(45224,45232) = 8

We will now calculate the prime factors of 45224 and 45232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45224 and 45232.

How to find the GCF of 45224 and 45232?

We will first find the prime factorization of 45224 and 45232. After we will calculate the factors of 45224 and 45232 and find the biggest common factor number .

Step-1: Prime Factorization of 45224

Prime factors of 45224 are 2, 5653. Prime factorization of 45224 in exponential form is:

45224 = 2³ × 5653¹

Step-2: Prime Factorization of 45232

Prime factors of 45232 are 2, 11, 257. Prime factorization of 45232 in exponential form is:

45232 = 2⁴ × 11¹ × 257¹

Step-3: Factors of 45224

List of positive integer factors of 45224 that divides 45224 without a remainder.

1, 2, 4, 8, 5653, 11306, 22612

Step-4: Factors of 45232

List of positive integer factors of 45232 that divides 45224 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 257, 514, 1028, 2056, 2827, 4112, 5654, 11308, 22616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45224 and 45232. The biggest common factor number is the GCF number.
So the greatest common factor 45224 and 45232 is 8.

Also check out the Least Common Multiple of 45224 and 45232