What is the Greatest Common Factor of 37338 and 37350?

Greatest common factor (GCF) of 37338 and 37350 is 6.

GCF(37338,37350) = 6

We will now calculate the prime factors of 37338 and 37350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37338 and 37350.

How to find the GCF of 37338 and 37350?

We will first find the prime factorization of 37338 and 37350. After we will calculate the factors of 37338 and 37350 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37350

Prime factors of 37350 are 2, 3, 5, 83. Prime factorization of 37350 in exponential form is:

37350 = 2¹ × 3² × 5² × 83¹

Step-3: Factors of 37338

List of positive integer factors of 37338 that divides 37338 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

Step-4: Factors of 37350

List of positive integer factors of 37350 that divides 37338 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 83, 90, 150, 166, 225, 249, 415, 450, 498, 747, 830, 1245, 1494, 2075, 2490, 3735, 4150, 6225, 7470, 12450, 18675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37338 and 37350. The biggest common factor number is the GCF number.
So the greatest common factor 37338 and 37350 is 6.

Also check out the Least Common Multiple of 37338 and 37350