What is the Greatest Common Factor of 37278 and 37282?

Greatest common factor (GCF) of 37278 and 37282 is 2.

GCF(37278,37282) = 2

We will now calculate the prime factors of 37278 and 37282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37278 and 37282.

How to find the GCF of 37278 and 37282?

We will first find the prime factorization of 37278 and 37282. After we will calculate the factors of 37278 and 37282 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 37282

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

37282 = 2¹ × 7¹ × 2663¹

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 37282

List of positive integer factors of 37282 that divides 37278 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37278 and 37282. The biggest common factor number is the GCF number.
So the greatest common factor 37278 and 37282 is 2.

Also check out the Least Common Multiple of 37278 and 37282