What is the Greatest Common Factor of 37890 and 37906?

Greatest common factor (GCF) of 37890 and 37906 is 2.

GCF(37890,37906) = 2

We will now calculate the prime factors of 37890 and 37906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37890 and 37906.

How to find the GCF of 37890 and 37906?

We will first find the prime factorization of 37890 and 37906. After we will calculate the factors of 37890 and 37906 and find the biggest common factor number .

Step-1: Prime Factorization of 37890

Prime factors of 37890 are 2, 3, 5, 421. Prime factorization of 37890 in exponential form is:

37890 = 2¹ × 3² × 5¹ × 421¹

Step-2: Prime Factorization of 37906

Prime factors of 37906 are 2, 11, 1723. Prime factorization of 37906 in exponential form is:

37906 = 2¹ × 11¹ × 1723¹

Step-3: Factors of 37890

List of positive integer factors of 37890 that divides 37890 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 421, 842, 1263, 2105, 2526, 3789, 4210, 6315, 7578, 12630, 18945

Step-4: Factors of 37906

List of positive integer factors of 37906 that divides 37890 without a remainder.

1, 2, 11, 22, 1723, 3446, 18953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37890 and 37906. The biggest common factor number is the GCF number.
So the greatest common factor 37890 and 37906 is 2.

Also check out the Least Common Multiple of 37890 and 37906