What is the Greatest Common Factor of 8132 and 8136?

Greatest common factor (GCF) of 8132 and 8136 is 4.

GCF(8132,8136) = 4

We will now calculate the prime factors of 8132 and 8136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8132 and 8136.

How to find the GCF of 8132 and 8136?

We will first find the prime factorization of 8132 and 8136. After we will calculate the factors of 8132 and 8136 and find the biggest common factor number .

Step-1: Prime Factorization of 8132

Prime factors of 8132 are 2, 19, 107. Prime factorization of 8132 in exponential form is:

8132 = 2² × 19¹ × 107¹

Step-2: Prime Factorization of 8136

Prime factors of 8136 are 2, 3, 113. Prime factorization of 8136 in exponential form is:

8136 = 2³ × 3² × 113¹

Step-3: Factors of 8132

List of positive integer factors of 8132 that divides 8132 without a remainder.

1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066

Step-4: Factors of 8136

List of positive integer factors of 8136 that divides 8132 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8132 and 8136. The biggest common factor number is the GCF number.
So the greatest common factor 8132 and 8136 is 4.

Also check out the Least Common Multiple of 8132 and 8136