What is the Greatest Common Factor of 8070 and 8076?

Greatest common factor (GCF) of 8070 and 8076 is 6.

GCF(8070,8076) = 6

We will now calculate the prime factors of 8070 and 8076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8070 and 8076.

How to find the GCF of 8070 and 8076?

We will first find the prime factorization of 8070 and 8076. After we will calculate the factors of 8070 and 8076 and find the biggest common factor number .

Step-1: Prime Factorization of 8070

Prime factors of 8070 are 2, 3, 5, 269. Prime factorization of 8070 in exponential form is:

8070 = 2¹ × 3¹ × 5¹ × 269¹

Step-2: Prime Factorization of 8076

Prime factors of 8076 are 2, 3, 673. Prime factorization of 8076 in exponential form is:

8076 = 2² × 3¹ × 673¹

Step-3: Factors of 8070

List of positive integer factors of 8070 that divides 8070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035

Step-4: Factors of 8076

List of positive integer factors of 8076 that divides 8070 without a remainder.

1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8070 and 8076. The biggest common factor number is the GCF number.
So the greatest common factor 8070 and 8076 is 6.

Also check out the Least Common Multiple of 8070 and 8076