What is the Greatest Common Factor of 38466 and 38472?

Greatest common factor (GCF) of 38466 and 38472 is 6.

GCF(38466,38472) = 6

We will now calculate the prime factors of 38466 and 38472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38466 and 38472.

How to find the GCF of 38466 and 38472?

We will first find the prime factorization of 38466 and 38472. After we will calculate the factors of 38466 and 38472 and find the biggest common factor number .

Step-1: Prime Factorization of 38466

Prime factors of 38466 are 2, 3, 2137. Prime factorization of 38466 in exponential form is:

38466 = 2¹ × 3² × 2137¹

Step-2: Prime Factorization of 38472

Prime factors of 38472 are 2, 3, 7, 229. Prime factorization of 38472 in exponential form is:

38472 = 2³ × 3¹ × 7¹ × 229¹

Step-3: Factors of 38466

List of positive integer factors of 38466 that divides 38466 without a remainder.

1, 2, 3, 6, 9, 18, 2137, 4274, 6411, 12822, 19233

Step-4: Factors of 38472

List of positive integer factors of 38472 that divides 38466 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 229, 458, 687, 916, 1374, 1603, 1832, 2748, 3206, 4809, 5496, 6412, 9618, 12824, 19236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38466 and 38472. The biggest common factor number is the GCF number.
So the greatest common factor 38466 and 38472 is 6.

Also check out the Least Common Multiple of 38466 and 38472