What is the Greatest Common Factor of 37414 and 37432?

Greatest common factor (GCF) of 37414 and 37432 is 2.

GCF(37414,37432) = 2

We will now calculate the prime factors of 37414 and 37432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37414 and 37432.

How to find the GCF of 37414 and 37432?

We will first find the prime factorization of 37414 and 37432. After we will calculate the factors of 37414 and 37432 and find the biggest common factor number .

Step-1: Prime Factorization of 37414

Prime factors of 37414 are 2, 13, 1439. Prime factorization of 37414 in exponential form is:

37414 = 2¹ × 13¹ × 1439¹

Step-2: Prime Factorization of 37432

Prime factors of 37432 are 2, 4679. Prime factorization of 37432 in exponential form is:

37432 = 2³ × 4679¹

Step-3: Factors of 37414

List of positive integer factors of 37414 that divides 37414 without a remainder.

1, 2, 13, 26, 1439, 2878, 18707

Step-4: Factors of 37432

List of positive integer factors of 37432 that divides 37414 without a remainder.

1, 2, 4, 8, 4679, 9358, 18716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37414 and 37432. The biggest common factor number is the GCF number.
So the greatest common factor 37414 and 37432 is 2.

Also check out the Least Common Multiple of 37414 and 37432