What is the Greatest Common Factor of 37820 and 37838?

Greatest common factor (GCF) of 37820 and 37838 is 2.

GCF(37820,37838) = 2

We will now calculate the prime factors of 37820 and 37838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37820 and 37838.

How to find the GCF of 37820 and 37838?

We will first find the prime factorization of 37820 and 37838. After we will calculate the factors of 37820 and 37838 and find the biggest common factor number .

Step-1: Prime Factorization of 37820

Prime factors of 37820 are 2, 5, 31, 61. Prime factorization of 37820 in exponential form is:

37820 = 2² × 5¹ × 31¹ × 61¹

Step-2: Prime Factorization of 37838

Prime factors of 37838 are 2, 18919. Prime factorization of 37838 in exponential form is:

37838 = 2¹ × 18919¹

Step-3: Factors of 37820

List of positive integer factors of 37820 that divides 37820 without a remainder.

1, 2, 4, 5, 10, 20, 31, 61, 62, 122, 124, 155, 244, 305, 310, 610, 620, 1220, 1891, 3782, 7564, 9455, 18910

Step-4: Factors of 37838

List of positive integer factors of 37838 that divides 37820 without a remainder.

1, 2, 18919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37820 and 37838. The biggest common factor number is the GCF number.
So the greatest common factor 37820 and 37838 is 2.

Also check out the Least Common Multiple of 37820 and 37838