What is the Greatest Common Factor of 38619 and 38634?

Greatest common factor (GCF) of 38619 and 38634 is 3.

GCF(38619,38634) = 3

We will now calculate the prime factors of 38619 and 38634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38619 and 38634.

How to find the GCF of 38619 and 38634?

We will first find the prime factorization of 38619 and 38634. After we will calculate the factors of 38619 and 38634 and find the biggest common factor number .

Step-1: Prime Factorization of 38619

Prime factors of 38619 are 3, 7, 613. Prime factorization of 38619 in exponential form is:

38619 = 3² × 7¹ × 613¹

Step-2: Prime Factorization of 38634

Prime factors of 38634 are 2, 3, 47, 137. Prime factorization of 38634 in exponential form is:

38634 = 2¹ × 3¹ × 47¹ × 137¹

Step-3: Factors of 38619

List of positive integer factors of 38619 that divides 38619 without a remainder.

1, 3, 7, 9, 21, 63, 613, 1839, 4291, 5517, 12873

Step-4: Factors of 38634

List of positive integer factors of 38634 that divides 38619 without a remainder.

1, 2, 3, 6, 47, 94, 137, 141, 274, 282, 411, 822, 6439, 12878, 19317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38619 and 38634. The biggest common factor number is the GCF number.
So the greatest common factor 38619 and 38634 is 3.

Also check out the Least Common Multiple of 38619 and 38634