What is the Greatest Common Factor of 37820 and 37839?

Greatest common factor (GCF) of 37820 and 37839 is 1.

GCF(37820,37839) = 1

We will now calculate the prime factors of 37820 and 37839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37820 and 37839.

How to find the GCF of 37820 and 37839?

We will first find the prime factorization of 37820 and 37839. After we will calculate the factors of 37820 and 37839 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 37839

Prime factors of 37839 are 3, 12613. Prime factorization of 37839 in exponential form is:

37839 = 3¹ × 12613¹

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 37839

List of positive integer factors of 37839 that divides 37820 without a remainder.

1, 3, 12613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37820 and 37839. The biggest common factor number is the GCF number.
So the greatest common factor 37820 and 37839 is 1.

Also check out the Least Common Multiple of 37820 and 37839