What is the Greatest Common Factor of 38836 and 38854?

Greatest common factor (GCF) of 38836 and 38854 is 2.

GCF(38836,38854) = 2

We will now calculate the prime factors of 38836 and 38854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38836 and 38854.

How to find the GCF of 38836 and 38854?

We will first find the prime factorization of 38836 and 38854. After we will calculate the factors of 38836 and 38854 and find the biggest common factor number .

Step-1: Prime Factorization of 38836

Prime factors of 38836 are 2, 7, 19, 73. Prime factorization of 38836 in exponential form is:

38836 = 2² × 7¹ × 19¹ × 73¹

Step-2: Prime Factorization of 38854

Prime factors of 38854 are 2, 19427. Prime factorization of 38854 in exponential form is:

38854 = 2¹ × 19427¹

Step-3: Factors of 38836

List of positive integer factors of 38836 that divides 38836 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 73, 76, 133, 146, 266, 292, 511, 532, 1022, 1387, 2044, 2774, 5548, 9709, 19418

Step-4: Factors of 38854

List of positive integer factors of 38854 that divides 38836 without a remainder.

1, 2, 19427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38836 and 38854. The biggest common factor number is the GCF number.
So the greatest common factor 38836 and 38854 is 2.

Also check out the Least Common Multiple of 38836 and 38854