What is the Greatest Common Factor of 38046 and 38056?

Greatest common factor (GCF) of 38046 and 38056 is 2.

GCF(38046,38056) = 2

We will now calculate the prime factors of 38046 and 38056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38046 and 38056.

How to find the GCF of 38046 and 38056?

We will first find the prime factorization of 38046 and 38056. After we will calculate the factors of 38046 and 38056 and find the biggest common factor number .

Step-1: Prime Factorization of 38046

Prime factors of 38046 are 2, 3, 17, 373. Prime factorization of 38046 in exponential form is:

38046 = 2¹ × 3¹ × 17¹ × 373¹

Step-2: Prime Factorization of 38056

Prime factors of 38056 are 2, 67, 71. Prime factorization of 38056 in exponential form is:

38056 = 2³ × 67¹ × 71¹

Step-3: Factors of 38046

List of positive integer factors of 38046 that divides 38046 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 373, 746, 1119, 2238, 6341, 12682, 19023

Step-4: Factors of 38056

List of positive integer factors of 38056 that divides 38046 without a remainder.

1, 2, 4, 8, 67, 71, 134, 142, 268, 284, 536, 568, 4757, 9514, 19028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38046 and 38056. The biggest common factor number is the GCF number.
So the greatest common factor 38046 and 38056 is 2.

Also check out the Least Common Multiple of 38046 and 38056