What is the Greatest Common Factor of 37282 and 37292?

Greatest common factor (GCF) of 37282 and 37292 is 2.

GCF(37282,37292) = 2

We will now calculate the prime factors of 37282 and 37292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37282 and 37292.

How to find the GCF of 37282 and 37292?

We will first find the prime factorization of 37282 and 37292. After we will calculate the factors of 37282 and 37292 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 37292

Prime factors of 37292 are 2, 9323. Prime factorization of 37292 in exponential form is:

37292 = 2² × 9323¹

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 37292

List of positive integer factors of 37292 that divides 37282 without a remainder.

1, 2, 4, 9323, 18646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37282 and 37292. The biggest common factor number is the GCF number.
So the greatest common factor 37282 and 37292 is 2.

Also check out the Least Common Multiple of 37282 and 37292