What is the Greatest Common Factor of 38844 and 38864?

Greatest common factor (GCF) of 38844 and 38864 is 4.

GCF(38844,38864) = 4

We will now calculate the prime factors of 38844 and 38864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38844 and 38864.

How to find the GCF of 38844 and 38864?

We will first find the prime factorization of 38844 and 38864. After we will calculate the factors of 38844 and 38864 and find the biggest common factor number .

Step-1: Prime Factorization of 38844

Prime factors of 38844 are 2, 3, 13, 83. Prime factorization of 38844 in exponential form is:

38844 = 2² × 3² × 13¹ × 83¹

Step-2: Prime Factorization of 38864

Prime factors of 38864 are 2, 7, 347. Prime factorization of 38864 in exponential form is:

38864 = 2⁴ × 7¹ × 347¹

Step-3: Factors of 38844

List of positive integer factors of 38844 that divides 38844 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 83, 117, 156, 166, 234, 249, 332, 468, 498, 747, 996, 1079, 1494, 2158, 2988, 3237, 4316, 6474, 9711, 12948, 19422

Step-4: Factors of 38864

List of positive integer factors of 38864 that divides 38844 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 347, 694, 1388, 2429, 2776, 4858, 5552, 9716, 19432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38844 and 38864. The biggest common factor number is the GCF number.
So the greatest common factor 38844 and 38864 is 4.

Also check out the Least Common Multiple of 38844 and 38864