What is the Greatest Common Factor of 37265 and 37269?

Greatest common factor (GCF) of 37265 and 37269 is 1.

GCF(37265,37269) = 1

We will now calculate the prime factors of 37265 and 37269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37265 and 37269.

How to find the GCF of 37265 and 37269?

We will first find the prime factorization of 37265 and 37269. After we will calculate the factors of 37265 and 37269 and find the biggest common factor number .

Step-1: Prime Factorization of 37265

Prime factors of 37265 are 5, 29, 257. Prime factorization of 37265 in exponential form is:

37265 = 5¹ × 29¹ × 257¹

Step-2: 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-3: Factors of 37265

List of positive integer factors of 37265 that divides 37265 without a remainder.

1, 5, 29, 145, 257, 1285, 7453

Step-4: Factors of 37269

List of positive integer factors of 37269 that divides 37265 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37265 and 37269. The biggest common factor number is the GCF number.
So the greatest common factor 37265 and 37269 is 1.

Also check out the Least Common Multiple of 37265 and 37269