What is the Greatest Common Factor of 37350 and 37362?

Greatest common factor (GCF) of 37350 and 37362 is 6.

GCF(37350,37362) = 6

We will now calculate the prime factors of 37350 and 37362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37350 and 37362.

How to find the GCF of 37350 and 37362?

We will first find the prime factorization of 37350 and 37362. After we will calculate the factors of 37350 and 37362 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 37362

Prime factors of 37362 are 2, 3, 13, 479. Prime factorization of 37362 in exponential form is:

37362 = 2¹ × 3¹ × 13¹ × 479¹

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 37362

List of positive integer factors of 37362 that divides 37350 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 479, 958, 1437, 2874, 6227, 12454, 18681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37350 and 37362. The biggest common factor number is the GCF number.
So the greatest common factor 37350 and 37362 is 6.

Also check out the Least Common Multiple of 37350 and 37362