What is the Greatest Common Factor of 37419 and 37434?

Greatest common factor (GCF) of 37419 and 37434 is 3.

GCF(37419,37434) = 3

We will now calculate the prime factors of 37419 and 37434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37419 and 37434.

How to find the GCF of 37419 and 37434?

We will first find the prime factorization of 37419 and 37434. After we will calculate the factors of 37419 and 37434 and find the biggest common factor number .

Step-1: Prime Factorization of 37419

Prime factors of 37419 are 3, 12473. Prime factorization of 37419 in exponential form is:

37419 = 3¹ × 12473¹

Step-2: 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-3: Factors of 37419

List of positive integer factors of 37419 that divides 37419 without a remainder.

1, 3, 12473

Step-4: Factors of 37434

List of positive integer factors of 37434 that divides 37419 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37419 and 37434. The biggest common factor number is the GCF number.
So the greatest common factor 37419 and 37434 is 3.

Also check out the Least Common Multiple of 37419 and 37434