What is the Greatest Common Factor of 37350 and 37360?

Greatest common factor (GCF) of 37350 and 37360 is 10.

GCF(37350,37360) = 10

We will now calculate the prime factors of 37350 and 37360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37350 and 37360.

How to find the GCF of 37350 and 37360?

We will first find the prime factorization of 37350 and 37360. After we will calculate the factors of 37350 and 37360 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37360

Prime factors of 37360 are 2, 5, 467. Prime factorization of 37360 in exponential form is:

37360 = 2⁴ × 5¹ × 467¹

Step-3: Factors of 37350

List of positive integer factors of 37350 that divides 37350 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

Step-4: Factors of 37360

List of positive integer factors of 37360 that divides 37350 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 467, 934, 1868, 2335, 3736, 4670, 7472, 9340, 18680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37350 and 37360. The biggest common factor number is the GCF number.
So the greatest common factor 37350 and 37360 is 10.

Also check out the Least Common Multiple of 37350 and 37360