What is the Greatest Common Factor of 37259 and 37277?

Greatest common factor (GCF) of 37259 and 37277 is 1.

GCF(37259,37277) = 1

We will now calculate the prime factors of 37259 and 37277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37259 and 37277.

How to find the GCF of 37259 and 37277?

We will first find the prime factorization of 37259 and 37277. After we will calculate the factors of 37259 and 37277 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 37277

Prime factors of 37277 are 37277. Prime factorization of 37277 in exponential form is:

37277 = 37277¹

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 37277

List of positive integer factors of 37277 that divides 37259 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37259 and 37277. The biggest common factor number is the GCF number.
So the greatest common factor 37259 and 37277 is 1.

Also check out the Least Common Multiple of 37259 and 37277