What is the Greatest Common Factor of 38784 and 38802?

Greatest common factor (GCF) of 38784 and 38802 is 6.

GCF(38784,38802) = 6

We will now calculate the prime factors of 38784 and 38802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38784 and 38802.

How to find the GCF of 38784 and 38802?

We will first find the prime factorization of 38784 and 38802. After we will calculate the factors of 38784 and 38802 and find the biggest common factor number .

Step-1: Prime Factorization of 38784

Prime factors of 38784 are 2, 3, 101. Prime factorization of 38784 in exponential form is:

38784 = 2⁷ × 3¹ × 101¹

Step-2: Prime Factorization of 38802

Prime factors of 38802 are 2, 3, 29, 223. Prime factorization of 38802 in exponential form is:

38802 = 2¹ × 3¹ × 29¹ × 223¹

Step-3: Factors of 38784

List of positive integer factors of 38784 that divides 38784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 101, 128, 192, 202, 303, 384, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 6464, 9696, 12928, 19392

Step-4: Factors of 38802

List of positive integer factors of 38802 that divides 38784 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 223, 446, 669, 1338, 6467, 12934, 19401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38784 and 38802. The biggest common factor number is the GCF number.
So the greatest common factor 38784 and 38802 is 6.

Also check out the Least Common Multiple of 38784 and 38802