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What is the Greatest Common Factor of 8070 and 8090?

Greatest common factor (GCF) of 8070 and 8090 is 10.

GCF(8070,8090) = 10

We will now calculate the prime factors of 8070 and 8090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8070 and 8090.

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How to find the GCF of 8070 and 8090?

We will first find the prime factorization of 8070 and 8090. After we will calculate the factors of 8070 and 8090 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 8090

Prime factors of 8090 are 2, 5, 809. Prime factorization of 8090 in exponential form is:

8090 = 21 × 51 × 8091

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 8090

List of positive integer factors of 8090 that divides 8070 without a remainder.

1, 2, 5, 10, 809, 1618, 4045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8070 and 8090. The biggest common factor number is the GCF number.
So the greatest common factor 8070 and 8090 is 10.

Also check out the Least Common Multiple of 8070 and 8090