What is the Greatest Common Factor of 37705 and 37710?

Greatest common factor (GCF) of 37705 and 37710 is 5.

GCF(37705,37710) = 5

We will now calculate the prime factors of 37705 and 37710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37705 and 37710.

How to find the GCF of 37705 and 37710?

We will first find the prime factorization of 37705 and 37710. After we will calculate the factors of 37705 and 37710 and find the biggest common factor number .

Step-1: Prime Factorization of 37705

Prime factors of 37705 are 5, 7541. Prime factorization of 37705 in exponential form is:

37705 = 5¹ × 7541¹

Step-2: Prime Factorization of 37710

Prime factors of 37710 are 2, 3, 5, 419. Prime factorization of 37710 in exponential form is:

37710 = 2¹ × 3² × 5¹ × 419¹

Step-3: Factors of 37705

List of positive integer factors of 37705 that divides 37705 without a remainder.

1, 5, 7541

Step-4: Factors of 37710

List of positive integer factors of 37710 that divides 37705 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 419, 838, 1257, 2095, 2514, 3771, 4190, 6285, 7542, 12570, 18855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37705 and 37710. The biggest common factor number is the GCF number.
So the greatest common factor 37705 and 37710 is 5.

Also check out the Least Common Multiple of 37705 and 37710