What is the Greatest Common Factor of 37346 and 37350?

Greatest common factor (GCF) of 37346 and 37350 is 2.

GCF(37346,37350) = 2

We will now calculate the prime factors of 37346 and 37350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37346 and 37350.

How to find the GCF of 37346 and 37350?

We will first find the prime factorization of 37346 and 37350. After we will calculate the factors of 37346 and 37350 and find the biggest common factor number .

Step-1: Prime Factorization of 37346

Prime factors of 37346 are 2, 71, 263. Prime factorization of 37346 in exponential form is:

37346 = 2¹ × 71¹ × 263¹

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 37346

List of positive integer factors of 37346 that divides 37346 without a remainder.

1, 2, 71, 142, 263, 526, 18673

Step-4: Factors of 37350

List of positive integer factors of 37350 that divides 37346 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 37346 and 37350. The biggest common factor number is the GCF number.
So the greatest common factor 37346 and 37350 is 2.

Also check out the Least Common Multiple of 37346 and 37350