What is the Greatest Common Factor of 38714 and 38730?

Greatest common factor (GCF) of 38714 and 38730 is 2.

GCF(38714,38730) = 2

We will now calculate the prime factors of 38714 and 38730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38714 and 38730.

How to find the GCF of 38714 and 38730?

We will first find the prime factorization of 38714 and 38730. After we will calculate the factors of 38714 and 38730 and find the biggest common factor number .

Step-1: Prime Factorization of 38714

Prime factors of 38714 are 2, 13, 1489. Prime factorization of 38714 in exponential form is:

38714 = 2¹ × 13¹ × 1489¹

Step-2: Prime Factorization of 38730

Prime factors of 38730 are 2, 3, 5, 1291. Prime factorization of 38730 in exponential form is:

38730 = 2¹ × 3¹ × 5¹ × 1291¹

Step-3: Factors of 38714

List of positive integer factors of 38714 that divides 38714 without a remainder.

1, 2, 13, 26, 1489, 2978, 19357

Step-4: Factors of 38730

List of positive integer factors of 38730 that divides 38714 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1291, 2582, 3873, 6455, 7746, 12910, 19365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38714 and 38730. The biggest common factor number is the GCF number.
So the greatest common factor 38714 and 38730 is 2.

Also check out the Least Common Multiple of 38714 and 38730