What is the Greatest Common Factor of 45232 and 45243?

Greatest common factor (GCF) of 45232 and 45243 is 11.

GCF(45232,45243) = 11

We will now calculate the prime factors of 45232 and 45243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45232 and 45243.

How to find the GCF of 45232 and 45243?

We will first find the prime factorization of 45232 and 45243. After we will calculate the factors of 45232 and 45243 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45243

Prime factors of 45243 are 3, 11, 457. Prime factorization of 45243 in exponential form is:

45243 = 3² × 11¹ × 457¹

Step-3: Factors of 45232

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

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

Step-4: Factors of 45243

List of positive integer factors of 45243 that divides 45232 without a remainder.

1, 3, 9, 11, 33, 99, 457, 1371, 4113, 5027, 15081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45232 and 45243. The biggest common factor number is the GCF number.
So the greatest common factor 45232 and 45243 is 11.

Also check out the Least Common Multiple of 45232 and 45243