What is the Greatest Common Factor of 8138 and 8152?

Greatest common factor (GCF) of 8138 and 8152 is 2.

GCF(8138,8152) = 2

We will now calculate the prime factors of 8138 and 8152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8138 and 8152.

How to find the GCF of 8138 and 8152?

We will first find the prime factorization of 8138 and 8152. After we will calculate the factors of 8138 and 8152 and find the biggest common factor number .

Step-1: Prime Factorization of 8138

Prime factors of 8138 are 2, 13, 313. Prime factorization of 8138 in exponential form is:

8138 = 2¹ × 13¹ × 313¹

Step-2: Prime Factorization of 8152

Prime factors of 8152 are 2, 1019. Prime factorization of 8152 in exponential form is:

8152 = 2³ × 1019¹

Step-3: Factors of 8138

List of positive integer factors of 8138 that divides 8138 without a remainder.

1, 2, 13, 26, 313, 626, 4069

Step-4: Factors of 8152

List of positive integer factors of 8152 that divides 8138 without a remainder.

1, 2, 4, 8, 1019, 2038, 4076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8138 and 8152. The biggest common factor number is the GCF number.
So the greatest common factor 8138 and 8152 is 2.

Also check out the Least Common Multiple of 8138 and 8152