What is the Greatest Common Factor of 37710 and 37730?

Greatest common factor (GCF) of 37710 and 37730 is 10.

GCF(37710,37730) = 10

We will now calculate the prime factors of 37710 and 37730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37710 and 37730.

How to find the GCF of 37710 and 37730?

We will first find the prime factorization of 37710 and 37730. After we will calculate the factors of 37710 and 37730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37730

Prime factors of 37730 are 2, 5, 7, 11. Prime factorization of 37730 in exponential form is:

37730 = 2¹ × 5¹ × 7³ × 11¹

Step-3: Factors of 37710

List of positive integer factors of 37710 that divides 37710 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

Step-4: Factors of 37730

List of positive integer factors of 37730 that divides 37710 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 343, 385, 490, 539, 686, 770, 1078, 1715, 2695, 3430, 3773, 5390, 7546, 18865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37710 and 37730. The biggest common factor number is the GCF number.
So the greatest common factor 37710 and 37730 is 10.

Also check out the Least Common Multiple of 37710 and 37730