What is the Greatest Common Factor of 37259 and 37269?

Greatest common factor (GCF) of 37259 and 37269 is 1.

GCF(37259,37269) = 1

We will now calculate the prime factors of 37259 and 37269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37259 and 37269.

How to find the GCF of 37259 and 37269?

We will first find the prime factorization of 37259 and 37269. After we will calculate the factors of 37259 and 37269 and find the biggest common factor number .

Step-1: Prime Factorization of 37259

Prime factors of 37259 are 19, 37, 53. Prime factorization of 37259 in exponential form is:

37259 = 19¹ × 37¹ × 53¹

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 37259

List of positive integer factors of 37259 that divides 37259 without a remainder.

1, 19, 37, 53, 703, 1007, 1961

Step-4: Factors of 37269

List of positive integer factors of 37269 that divides 37259 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 37259 and 37269. The biggest common factor number is the GCF number.
So the greatest common factor 37259 and 37269 is 1.

Also check out the Least Common Multiple of 37259 and 37269