What is the Greatest Common Factor of 37278 and 37289?

Greatest common factor (GCF) of 37278 and 37289 is 1.

GCF(37278,37289) = 1

We will now calculate the prime factors of 37278 and 37289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37278 and 37289.

How to find the GCF of 37278 and 37289?

We will first find the prime factorization of 37278 and 37289. After we will calculate the factors of 37278 and 37289 and find the biggest common factor number .

Step-1: Prime Factorization of 37278

Prime factors of 37278 are 2, 3, 19, 109. Prime factorization of 37278 in exponential form is:

37278 = 2¹ × 3² × 19¹ × 109¹

Step-2: Prime Factorization of 37289

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

37289 = 7² × 761¹

Step-3: Factors of 37278

List of positive integer factors of 37278 that divides 37278 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 109, 114, 171, 218, 327, 342, 654, 981, 1962, 2071, 4142, 6213, 12426, 18639

Step-4: Factors of 37289

List of positive integer factors of 37289 that divides 37278 without a remainder.

1, 7, 49, 761, 5327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37278 and 37289. The biggest common factor number is the GCF number.
So the greatest common factor 37278 and 37289 is 1.

Also check out the Least Common Multiple of 37278 and 37289