What is the Greatest Common Factor of 37269 and 37280?

Greatest common factor (GCF) of 37269 and 37280 is 1.

GCF(37269,37280) = 1

We will now calculate the prime factors of 37269 and 37280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37269 and 37280.

How to find the GCF of 37269 and 37280?

We will first find the prime factorization of 37269 and 37280. After we will calculate the factors of 37269 and 37280 and find the biggest common factor number .

Step-1: Prime Factorization of 37269

Prime factors of 37269 are 3, 41, 101. Prime factorization of 37269 in exponential form is:

37269 = 3² × 41¹ × 101¹

Step-2: Prime Factorization of 37280

Prime factors of 37280 are 2, 5, 233. Prime factorization of 37280 in exponential form is:

37280 = 2⁵ × 5¹ × 233¹

Step-3: Factors of 37269

List of positive integer factors of 37269 that divides 37269 without a remainder.

1, 3, 9, 41, 101, 123, 303, 369, 909, 4141, 12423

Step-4: Factors of 37280

List of positive integer factors of 37280 that divides 37269 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 233, 466, 932, 1165, 1864, 2330, 3728, 4660, 7456, 9320, 18640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37269 and 37280. The biggest common factor number is the GCF number.
So the greatest common factor 37269 and 37280 is 1.

Also check out the Least Common Multiple of 37269 and 37280