What is the Greatest Common Factor of 37213 and 37230?

Greatest common factor (GCF) of 37213 and 37230 is 17.

GCF(37213,37230) = 17

We will now calculate the prime factors of 37213 and 37230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37213 and 37230.

How to find the GCF of 37213 and 37230?

We will first find the prime factorization of 37213 and 37230. After we will calculate the factors of 37213 and 37230 and find the biggest common factor number .

Step-1: Prime Factorization of 37213

Prime factors of 37213 are 11, 17, 199. Prime factorization of 37213 in exponential form is:

37213 = 11¹ × 17¹ × 199¹

Step-2: Prime Factorization of 37230

Prime factors of 37230 are 2, 3, 5, 17, 73. Prime factorization of 37230 in exponential form is:

37230 = 2¹ × 3¹ × 5¹ × 17¹ × 73¹

Step-3: Factors of 37213

List of positive integer factors of 37213 that divides 37213 without a remainder.

1, 11, 17, 187, 199, 2189, 3383

Step-4: Factors of 37230

List of positive integer factors of 37230 that divides 37213 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 73, 85, 102, 146, 170, 219, 255, 365, 438, 510, 730, 1095, 1241, 2190, 2482, 3723, 6205, 7446, 12410, 18615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37213 and 37230. The biggest common factor number is the GCF number.
So the greatest common factor 37213 and 37230 is 17.

Also check out the Least Common Multiple of 37213 and 37230