What is the Greatest Common Factor of 37282 and 37289?

Greatest common factor (GCF) of 37282 and 37289 is 7.

GCF(37282,37289) = 7

We will now calculate the prime factors of 37282 and 37289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37282 and 37289.

How to find the GCF of 37282 and 37289?

We will first find the prime factorization of 37282 and 37289. After we will calculate the factors of 37282 and 37289 and find the biggest common factor number .

Step-1: Prime Factorization of 37282

Prime factors of 37282 are 2, 7, 2663. Prime factorization of 37282 in exponential form is:

37282 = 2¹ × 7¹ × 2663¹

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 37282

List of positive integer factors of 37282 that divides 37282 without a remainder.

1, 2, 7, 14, 2663, 5326, 18641

Step-4: Factors of 37289

List of positive integer factors of 37289 that divides 37282 without a remainder.

1, 7, 49, 761, 5327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37282 and 37289. The biggest common factor number is the GCF number.
So the greatest common factor 37282 and 37289 is 7.

Also check out the Least Common Multiple of 37282 and 37289