What is the Greatest Common Factor of 37870 and 37885?

Greatest common factor (GCF) of 37870 and 37885 is 5.

GCF(37870,37885) = 5

We will now calculate the prime factors of 37870 and 37885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37870 and 37885.

How to find the GCF of 37870 and 37885?

We will first find the prime factorization of 37870 and 37885. After we will calculate the factors of 37870 and 37885 and find the biggest common factor number .

Step-1: Prime Factorization of 37870

Prime factors of 37870 are 2, 5, 7, 541. Prime factorization of 37870 in exponential form is:

37870 = 2¹ × 5¹ × 7¹ × 541¹

Step-2: Prime Factorization of 37885

Prime factors of 37885 are 5, 7577. Prime factorization of 37885 in exponential form is:

37885 = 5¹ × 7577¹

Step-3: Factors of 37870

List of positive integer factors of 37870 that divides 37870 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 541, 1082, 2705, 3787, 5410, 7574, 18935

Step-4: Factors of 37885

List of positive integer factors of 37885 that divides 37870 without a remainder.

1, 5, 7577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37870 and 37885. The biggest common factor number is the GCF number.
So the greatest common factor 37870 and 37885 is 5.

Also check out the Least Common Multiple of 37870 and 37885