What is the Greatest Common Factor of 37331 and 37338?

Greatest common factor (GCF) of 37331 and 37338 is 7.

GCF(37331,37338) = 7

We will now calculate the prime factors of 37331 and 37338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37331 and 37338.

How to find the GCF of 37331 and 37338?

We will first find the prime factorization of 37331 and 37338. After we will calculate the factors of 37331 and 37338 and find the biggest common factor number .

Step-1: Prime Factorization of 37331

Prime factors of 37331 are 7, 5333. Prime factorization of 37331 in exponential form is:

37331 = 7¹ × 5333¹

Step-2: Prime Factorization of 37338

Prime factors of 37338 are 2, 3, 7, 127. Prime factorization of 37338 in exponential form is:

37338 = 2¹ × 3¹ × 7² × 127¹

Step-3: Factors of 37331

List of positive integer factors of 37331 that divides 37331 without a remainder.

1, 7, 5333

Step-4: Factors of 37338

List of positive integer factors of 37338 that divides 37331 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 127, 147, 254, 294, 381, 762, 889, 1778, 2667, 5334, 6223, 12446, 18669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37331 and 37338. The biggest common factor number is the GCF number.
So the greatest common factor 37331 and 37338 is 7.

Also check out the Least Common Multiple of 37331 and 37338