What is the Greatest Common Factor of 38632 and 38646?

Greatest common factor (GCF) of 38632 and 38646 is 2.

GCF(38632,38646) = 2

We will now calculate the prime factors of 38632 and 38646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38632 and 38646.

How to find the GCF of 38632 and 38646?

We will first find the prime factorization of 38632 and 38646. After we will calculate the factors of 38632 and 38646 and find the biggest common factor number .

Step-1: Prime Factorization of 38632

Prime factors of 38632 are 2, 11, 439. Prime factorization of 38632 in exponential form is:

38632 = 2³ × 11¹ × 439¹

Step-2: Prime Factorization of 38646

Prime factors of 38646 are 2, 3, 19, 113. Prime factorization of 38646 in exponential form is:

38646 = 2¹ × 3² × 19¹ × 113¹

Step-3: Factors of 38632

List of positive integer factors of 38632 that divides 38632 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 439, 878, 1756, 3512, 4829, 9658, 19316

Step-4: Factors of 38646

List of positive integer factors of 38646 that divides 38632 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 113, 114, 171, 226, 339, 342, 678, 1017, 2034, 2147, 4294, 6441, 12882, 19323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38632 and 38646. The biggest common factor number is the GCF number.
So the greatest common factor 38632 and 38646 is 2.

Also check out the Least Common Multiple of 38632 and 38646