What is the Greatest Common Factor of 37434 and 37447?

Greatest common factor (GCF) of 37434 and 37447 is 1.

GCF(37434,37447) = 1

We will now calculate the prime factors of 37434 and 37447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37434 and 37447.

How to find the GCF of 37434 and 37447?

We will first find the prime factorization of 37434 and 37447. After we will calculate the factors of 37434 and 37447 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 37447

Prime factors of 37447 are 37447. Prime factorization of 37447 in exponential form is:

37447 = 37447¹

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 37447

List of positive integer factors of 37447 that divides 37434 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37434 and 37447. The biggest common factor number is the GCF number.
So the greatest common factor 37434 and 37447 is 1.

Also check out the Least Common Multiple of 37434 and 37447