What is the Greatest Common Factor of 37434 and 37449?

Greatest common factor (GCF) of 37434 and 37449 is 3.

GCF(37434,37449) = 3

We will now calculate the prime factors of 37434 and 37449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37434 and 37449.

How to find the GCF of 37434 and 37449?

We will first find the prime factorization of 37434 and 37449. After we will calculate the factors of 37434 and 37449 and find the biggest common factor number .

Step-1: Prime Factorization of 37434

Prime factors of 37434 are 2, 3, 17, 367. Prime factorization of 37434 in exponential form is:

37434 = 2¹ × 3¹ × 17¹ × 367¹

Step-2: Prime Factorization of 37449

Prime factors of 37449 are 3, 19, 73. Prime factorization of 37449 in exponential form is:

37449 = 3³ × 19¹ × 73¹

Step-3: Factors of 37434

List of positive integer factors of 37434 that divides 37434 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 367, 734, 1101, 2202, 6239, 12478, 18717

Step-4: Factors of 37449

List of positive integer factors of 37449 that divides 37434 without a remainder.

1, 3, 9, 19, 27, 57, 73, 171, 219, 513, 657, 1387, 1971, 4161, 12483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37434 and 37449. The biggest common factor number is the GCF number.
So the greatest common factor 37434 and 37449 is 3.

Also check out the Least Common Multiple of 37434 and 37449