What is the Greatest Common Factor of 37289 and 37303?

Greatest common factor (GCF) of 37289 and 37303 is 7.

GCF(37289,37303) = 7

We will now calculate the prime factors of 37289 and 37303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37289 and 37303.

How to find the GCF of 37289 and 37303?

We will first find the prime factorization of 37289 and 37303. After we will calculate the factors of 37289 and 37303 and find the biggest common factor number .

Step-1: Prime Factorization of 37289

Prime factors of 37289 are 7, 761. Prime factorization of 37289 in exponential form is:

37289 = 7² × 761¹

Step-2: Prime Factorization of 37303

Prime factors of 37303 are 7, 73. Prime factorization of 37303 in exponential form is:

37303 = 7¹ × 73²

Step-3: Factors of 37289

List of positive integer factors of 37289 that divides 37289 without a remainder.

1, 7, 49, 761, 5327

Step-4: Factors of 37303

List of positive integer factors of 37303 that divides 37289 without a remainder.

1, 7, 73, 511, 5329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37289 and 37303. The biggest common factor number is the GCF number.
So the greatest common factor 37289 and 37303 is 7.

Also check out the Least Common Multiple of 37289 and 37303