What is the Greatest Common Factor of 37874 and 37892?

Greatest common factor (GCF) of 37874 and 37892 is 2.

GCF(37874,37892) = 2

We will now calculate the prime factors of 37874 and 37892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37874 and 37892.

How to find the GCF of 37874 and 37892?

We will first find the prime factorization of 37874 and 37892. After we will calculate the factors of 37874 and 37892 and find the biggest common factor number .

Step-1: Prime Factorization of 37874

Prime factors of 37874 are 2, 29, 653. Prime factorization of 37874 in exponential form is:

37874 = 2¹ × 29¹ × 653¹

Step-2: Prime Factorization of 37892

Prime factors of 37892 are 2, 9473. Prime factorization of 37892 in exponential form is:

37892 = 2² × 9473¹

Step-3: Factors of 37874

List of positive integer factors of 37874 that divides 37874 without a remainder.

1, 2, 29, 58, 653, 1306, 18937

Step-4: Factors of 37892

List of positive integer factors of 37892 that divides 37874 without a remainder.

1, 2, 4, 9473, 18946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37874 and 37892. The biggest common factor number is the GCF number.
So the greatest common factor 37874 and 37892 is 2.

Also check out the Least Common Multiple of 37874 and 37892