What is the Greatest Common Factor of 38643 and 38654?

Greatest common factor (GCF) of 38643 and 38654 is 11.

GCF(38643,38654) = 11

We will now calculate the prime factors of 38643 and 38654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38643 and 38654.

How to find the GCF of 38643 and 38654?

We will first find the prime factorization of 38643 and 38654. After we will calculate the factors of 38643 and 38654 and find the biggest common factor number .

Step-1: Prime Factorization of 38643

Prime factors of 38643 are 3, 11, 1171. Prime factorization of 38643 in exponential form is:

38643 = 3¹ × 11¹ × 1171¹

Step-2: Prime Factorization of 38654

Prime factors of 38654 are 2, 7, 11, 251. Prime factorization of 38654 in exponential form is:

38654 = 2¹ × 7¹ × 11¹ × 251¹

Step-3: Factors of 38643

List of positive integer factors of 38643 that divides 38643 without a remainder.

1, 3, 11, 33, 1171, 3513, 12881

Step-4: Factors of 38654

List of positive integer factors of 38654 that divides 38643 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 251, 502, 1757, 2761, 3514, 5522, 19327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38643 and 38654. The biggest common factor number is the GCF number.
So the greatest common factor 38643 and 38654 is 11.

Also check out the Least Common Multiple of 38643 and 38654