What is the Greatest Common Factor of 38472 and 38485?

Greatest common factor (GCF) of 38472 and 38485 is 1.

GCF(38472,38485) = 1

We will now calculate the prime factors of 38472 and 38485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38472 and 38485.

How to find the GCF of 38472 and 38485?

We will first find the prime factorization of 38472 and 38485. After we will calculate the factors of 38472 and 38485 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38485

Prime factors of 38485 are 5, 43, 179. Prime factorization of 38485 in exponential form is:

38485 = 5¹ × 43¹ × 179¹

Step-3: Factors of 38472

List of positive integer factors of 38472 that divides 38472 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

Step-4: Factors of 38485

List of positive integer factors of 38485 that divides 38472 without a remainder.

1, 5, 43, 179, 215, 895, 7697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38472 and 38485. The biggest common factor number is the GCF number.
So the greatest common factor 38472 and 38485 is 1.

Also check out the Least Common Multiple of 38472 and 38485