What is the Greatest Common Factor of 38634 and 38649?

Greatest common factor (GCF) of 38634 and 38649 is 3.

GCF(38634,38649) = 3

We will now calculate the prime factors of 38634 and 38649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38634 and 38649.

How to find the GCF of 38634 and 38649?

We will first find the prime factorization of 38634 and 38649. After we will calculate the factors of 38634 and 38649 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38649

Prime factors of 38649 are 3, 13, 991. Prime factorization of 38649 in exponential form is:

38649 = 3¹ × 13¹ × 991¹

Step-3: Factors of 38634

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

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

Step-4: Factors of 38649

List of positive integer factors of 38649 that divides 38634 without a remainder.

1, 3, 13, 39, 991, 2973, 12883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38634 and 38649. The biggest common factor number is the GCF number.
So the greatest common factor 38634 and 38649 is 3.

Also check out the Least Common Multiple of 38634 and 38649