What is the Greatest Common Factor of 36114 and 36128?

Greatest common factor (GCF) of 36114 and 36128 is 2.

GCF(36114,36128) = 2

We will now calculate the prime factors of 36114 and 36128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36114 and 36128.

How to find the GCF of 36114 and 36128?

We will first find the prime factorization of 36114 and 36128. After we will calculate the factors of 36114 and 36128 and find the biggest common factor number .

Step-1: Prime Factorization of 36114

Prime factors of 36114 are 2, 3, 13, 463. Prime factorization of 36114 in exponential form is:

36114 = 2¹ × 3¹ × 13¹ × 463¹

Step-2: Prime Factorization of 36128

Prime factors of 36128 are 2, 1129. Prime factorization of 36128 in exponential form is:

36128 = 2⁵ × 1129¹

Step-3: Factors of 36114

List of positive integer factors of 36114 that divides 36114 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 463, 926, 1389, 2778, 6019, 12038, 18057

Step-4: Factors of 36128

List of positive integer factors of 36128 that divides 36114 without a remainder.

1, 2, 4, 8, 16, 32, 1129, 2258, 4516, 9032, 18064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36114 and 36128. The biggest common factor number is the GCF number.
So the greatest common factor 36114 and 36128 is 2.

Also check out the Least Common Multiple of 36114 and 36128