What is the Greatest Common Factor of 8144 and 8164?

Greatest common factor (GCF) of 8144 and 8164 is 4.

GCF(8144,8164) = 4

We will now calculate the prime factors of 8144 and 8164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8144 and 8164.

How to find the GCF of 8144 and 8164?

We will first find the prime factorization of 8144 and 8164. After we will calculate the factors of 8144 and 8164 and find the biggest common factor number .

Step-1: Prime Factorization of 8144

Prime factors of 8144 are 2, 509. Prime factorization of 8144 in exponential form is:

8144 = 2⁴ × 509¹

Step-2: Prime Factorization of 8164

Prime factors of 8164 are 2, 13, 157. Prime factorization of 8164 in exponential form is:

8164 = 2² × 13¹ × 157¹

Step-3: Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1, 2, 4, 8, 16, 509, 1018, 2036, 4072

Step-4: Factors of 8164

List of positive integer factors of 8164 that divides 8144 without a remainder.

1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8144 and 8164. The biggest common factor number is the GCF number.
So the greatest common factor 8144 and 8164 is 4.

Also check out the Least Common Multiple of 8144 and 8164