What is the Greatest Common Factor of 8140 and 8156?

Greatest common factor (GCF) of 8140 and 8156 is 4.

GCF(8140,8156) = 4

We will now calculate the prime factors of 8140 and 8156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8140 and 8156.

How to find the GCF of 8140 and 8156?

We will first find the prime factorization of 8140 and 8156. After we will calculate the factors of 8140 and 8156 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 8156

Prime factors of 8156 are 2, 2039. Prime factorization of 8156 in exponential form is:

8156 = 2² × 2039¹

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 8156

List of positive integer factors of 8156 that divides 8140 without a remainder.

1, 2, 4, 2039, 4078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8140 and 8156. The biggest common factor number is the GCF number.
So the greatest common factor 8140 and 8156 is 4.

Also check out the Least Common Multiple of 8140 and 8156