What is the Greatest Common Factor of 38878 and 38892?

Greatest common factor (GCF) of 38878 and 38892 is 14.

GCF(38878,38892) = 14

We will now calculate the prime factors of 38878 and 38892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38878 and 38892.

How to find the GCF of 38878 and 38892?

We will first find the prime factorization of 38878 and 38892. After we will calculate the factors of 38878 and 38892 and find the biggest common factor number .

Step-1: Prime Factorization of 38878

Prime factors of 38878 are 2, 7, 2777. Prime factorization of 38878 in exponential form is:

38878 = 2¹ × 7¹ × 2777¹

Step-2: Prime Factorization of 38892

Prime factors of 38892 are 2, 3, 7, 463. Prime factorization of 38892 in exponential form is:

38892 = 2² × 3¹ × 7¹ × 463¹

Step-3: Factors of 38878

List of positive integer factors of 38878 that divides 38878 without a remainder.

1, 2, 7, 14, 2777, 5554, 19439

Step-4: Factors of 38892

List of positive integer factors of 38892 that divides 38878 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 463, 926, 1389, 1852, 2778, 3241, 5556, 6482, 9723, 12964, 19446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38878 and 38892. The biggest common factor number is the GCF number.
So the greatest common factor 38878 and 38892 is 14.

Also check out the Least Common Multiple of 38878 and 38892