What is the Greatest Common Factor of 38892 and 38906?

Greatest common factor (GCF) of 38892 and 38906 is 14.

GCF(38892,38906) = 14

We will now calculate the prime factors of 38892 and 38906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38892 and 38906.

How to find the GCF of 38892 and 38906?

We will first find the prime factorization of 38892 and 38906. After we will calculate the factors of 38892 and 38906 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38906

Prime factors of 38906 are 2, 7, 397. Prime factorization of 38906 in exponential form is:

38906 = 2¹ × 7² × 397¹

Step-3: Factors of 38892

List of positive integer factors of 38892 that divides 38892 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

Step-4: Factors of 38906

List of positive integer factors of 38906 that divides 38892 without a remainder.

1, 2, 7, 14, 49, 98, 397, 794, 2779, 5558, 19453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38892 and 38906. The biggest common factor number is the GCF number.
So the greatest common factor 38892 and 38906 is 14.

Also check out the Least Common Multiple of 38892 and 38906