What is the Greatest Common Factor of 39730 and 39736?

Greatest common factor (GCF) of 39730 and 39736 is 2.

GCF(39730,39736) = 2

We will now calculate the prime factors of 39730 and 39736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39730 and 39736.

How to find the GCF of 39730 and 39736?

We will first find the prime factorization of 39730 and 39736. After we will calculate the factors of 39730 and 39736 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 39736

Prime factors of 39736 are 2, 4967. Prime factorization of 39736 in exponential form is:

39736 = 2³ × 4967¹

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 39736

List of positive integer factors of 39736 that divides 39730 without a remainder.

1, 2, 4, 8, 4967, 9934, 19868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39730 and 39736. The biggest common factor number is the GCF number.
So the greatest common factor 39730 and 39736 is 2.

Also check out the Least Common Multiple of 39730 and 39736