What is the Greatest Common Factor of 8140 and 8144?

Greatest common factor (GCF) of 8140 and 8144 is 4.

GCF(8140,8144) = 4

We will now calculate the prime factors of 8140 and 8144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8140 and 8144.

How to find the GCF of 8140 and 8144?

We will first find the prime factorization of 8140 and 8144. After we will calculate the factors of 8140 and 8144 and find the biggest common factor number .

Step-1: Prime Factorization of 8140

Prime factors of 8140 are 2, 5, 11, 37. Prime factorization of 8140 in exponential form is:

8140 = 2² × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 8144

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

8144 = 2⁴ × 509¹

Step-3: Factors of 8140

List of positive integer factors of 8140 that divides 8140 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070

Step-4: Factors of 8144

List of positive integer factors of 8144 that divides 8140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8140 and 8144. The biggest common factor number is the GCF number.
So the greatest common factor 8140 and 8144 is 4.

Also check out the Least Common Multiple of 8140 and 8144