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What is the Greatest Common Factor of 38076 and 38093?

Greatest common factor (GCF) of 38076 and 38093 is 1.

GCF(38076,38093) = 1

We will now calculate the prime factors of 38076 and 38093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38076 and 38093.

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How to find the GCF of 38076 and 38093?

We will first find the prime factorization of 38076 and 38093. After we will calculate the factors of 38076 and 38093 and find the biggest common factor number .

Step-1: Prime Factorization of 38076

Prime factors of 38076 are 2, 3, 19, 167. Prime factorization of 38076 in exponential form is:

38076 = 22 × 31 × 191 × 1671

Step-2: Prime Factorization of 38093

Prime factors of 38093 are 11, 3463. Prime factorization of 38093 in exponential form is:

38093 = 111 × 34631

Step-3: Factors of 38076

List of positive integer factors of 38076 that divides 38076 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 167, 228, 334, 501, 668, 1002, 2004, 3173, 6346, 9519, 12692, 19038

Step-4: Factors of 38093

List of positive integer factors of 38093 that divides 38076 without a remainder.

1, 11, 3463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38076 and 38093. The biggest common factor number is the GCF number.
So the greatest common factor 38076 and 38093 is 1.

Also check out the Least Common Multiple of 38076 and 38093