What is the Greatest Common Factor of 39128 and 39138?

Greatest common factor (GCF) of 39128 and 39138 is 2.

GCF(39128,39138) = 2

We will now calculate the prime factors of 39128 and 39138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39128 and 39138.

How to find the GCF of 39128 and 39138?

We will first find the prime factorization of 39128 and 39138. After we will calculate the factors of 39128 and 39138 and find the biggest common factor number .

Step-1: Prime Factorization of 39128

Prime factors of 39128 are 2, 67, 73. Prime factorization of 39128 in exponential form is:

39128 = 2³ × 67¹ × 73¹

Step-2: Prime Factorization of 39138

Prime factors of 39138 are 2, 3, 11, 593. Prime factorization of 39138 in exponential form is:

39138 = 2¹ × 3¹ × 11¹ × 593¹

Step-3: Factors of 39128

List of positive integer factors of 39128 that divides 39128 without a remainder.

1, 2, 4, 8, 67, 73, 134, 146, 268, 292, 536, 584, 4891, 9782, 19564

Step-4: Factors of 39138

List of positive integer factors of 39138 that divides 39128 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 593, 1186, 1779, 3558, 6523, 13046, 19569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39128 and 39138. The biggest common factor number is the GCF number.
So the greatest common factor 39128 and 39138 is 2.

Also check out the Least Common Multiple of 39128 and 39138