What is the Greatest Common Factor of 8120 and 8134?

Greatest common factor (GCF) of 8120 and 8134 is 14.

GCF(8120,8134) = 14

We will now calculate the prime factors of 8120 and 8134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8120 and 8134.

How to find the GCF of 8120 and 8134?

We will first find the prime factorization of 8120 and 8134. After we will calculate the factors of 8120 and 8134 and find the biggest common factor number .

Step-1: Prime Factorization of 8120

Prime factors of 8120 are 2, 5, 7, 29. Prime factorization of 8120 in exponential form is:

8120 = 2³ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 8134

Prime factors of 8134 are 2, 7, 83. Prime factorization of 8134 in exponential form is:

8134 = 2¹ × 7² × 83¹

Step-3: Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060

Step-4: Factors of 8134

List of positive integer factors of 8134 that divides 8120 without a remainder.

1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8120 and 8134. The biggest common factor number is the GCF number.
So the greatest common factor 8120 and 8134 is 14.

Also check out the Least Common Multiple of 8120 and 8134