What is the Greatest Common Factor of 39730 and 39740?

Greatest common factor (GCF) of 39730 and 39740 is 10.

GCF(39730,39740) = 10

We will now calculate the prime factors of 39730 and 39740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39730 and 39740.

How to find the GCF of 39730 and 39740?

We will first find the prime factorization of 39730 and 39740. After we will calculate the factors of 39730 and 39740 and find the biggest common factor number .

Step-1: Prime Factorization of 39730

Prime factors of 39730 are 2, 5, 29, 137. Prime factorization of 39730 in exponential form is:

39730 = 2¹ × 5¹ × 29¹ × 137¹

Step-2: Prime Factorization of 39740

Prime factors of 39740 are 2, 5, 1987. Prime factorization of 39740 in exponential form is:

39740 = 2² × 5¹ × 1987¹

Step-3: Factors of 39730

List of positive integer factors of 39730 that divides 39730 without a remainder.

1, 2, 5, 10, 29, 58, 137, 145, 274, 290, 685, 1370, 3973, 7946, 19865

Step-4: Factors of 39740

List of positive integer factors of 39740 that divides 39730 without a remainder.

1, 2, 4, 5, 10, 20, 1987, 3974, 7948, 9935, 19870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39730 and 39740. The biggest common factor number is the GCF number.
So the greatest common factor 39730 and 39740 is 10.

Also check out the Least Common Multiple of 39730 and 39740