What is the Greatest Common Factor of 3710 and 3730?

Greatest common factor (GCF) of 3710 and 3730 is 10.

GCF(3710,3730) = 10

We will now calculate the prime factors of 3710 and 3730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3710 and 3730.

How to find the GCF of 3710 and 3730?

We will first find the prime factorization of 3710 and 3730. After we will calculate the factors of 3710 and 3730 and find the biggest common factor number .

Step-1: Prime Factorization of 3710

Prime factors of 3710 are 2, 5, 7, 53. Prime factorization of 3710 in exponential form is:

3710 = 2¹ × 5¹ × 7¹ × 53¹

Step-2: Prime Factorization of 3730

Prime factors of 3730 are 2, 5, 373. Prime factorization of 3730 in exponential form is:

3730 = 2¹ × 5¹ × 373¹

Step-3: Factors of 3710

List of positive integer factors of 3710 that divides 3710 without a remainder.

1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855

Step-4: Factors of 3730

List of positive integer factors of 3730 that divides 3710 without a remainder.

1, 2, 5, 10, 373, 746, 1865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3710 and 3730. The biggest common factor number is the GCF number.
So the greatest common factor 3710 and 3730 is 10.

Also check out the Least Common Multiple of 3710 and 3730