What is the Greatest Common Factor of 45261 and 45280?

Greatest common factor (GCF) of 45261 and 45280 is 1.

GCF(45261,45280) = 1

We will now calculate the prime factors of 45261 and 45280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45261 and 45280.

How to find the GCF of 45261 and 45280?

We will first find the prime factorization of 45261 and 45280. After we will calculate the factors of 45261 and 45280 and find the biggest common factor number .

Step-1: Prime Factorization of 45261

Prime factors of 45261 are 3, 47, 107. Prime factorization of 45261 in exponential form is:

45261 = 3² × 47¹ × 107¹

Step-2: Prime Factorization of 45280

Prime factors of 45280 are 2, 5, 283. Prime factorization of 45280 in exponential form is:

45280 = 2⁵ × 5¹ × 283¹

Step-3: Factors of 45261

List of positive integer factors of 45261 that divides 45261 without a remainder.

1, 3, 9, 47, 107, 141, 321, 423, 963, 5029, 15087

Step-4: Factors of 45280

List of positive integer factors of 45280 that divides 45261 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 283, 566, 1132, 1415, 2264, 2830, 4528, 5660, 9056, 11320, 22640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45261 and 45280. The biggest common factor number is the GCF number.
So the greatest common factor 45261 and 45280 is 1.

Also check out the Least Common Multiple of 45261 and 45280