What is the Greatest Common Factor of 80070 and 80087?

Greatest common factor (GCF) of 80070 and 80087 is 17.

GCF(80070,80087) = 17

We will now calculate the prime factors of 80070 and 80087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80070 and 80087.

How to find the GCF of 80070 and 80087?

We will first find the prime factorization of 80070 and 80087. After we will calculate the factors of 80070 and 80087 and find the biggest common factor number .

Step-1: Prime Factorization of 80070

Prime factors of 80070 are 2, 3, 5, 17, 157. Prime factorization of 80070 in exponential form is:

80070 = 2¹ × 3¹ × 5¹ × 17¹ × 157¹

Step-2: Prime Factorization of 80087

Prime factors of 80087 are 7, 17, 673. Prime factorization of 80087 in exponential form is:

80087 = 7¹ × 17¹ × 673¹

Step-3: Factors of 80070

List of positive integer factors of 80070 that divides 80070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 157, 170, 255, 314, 471, 510, 785, 942, 1570, 2355, 2669, 4710, 5338, 8007, 13345, 16014, 26690, 40035

Step-4: Factors of 80087

List of positive integer factors of 80087 that divides 80070 without a remainder.

1, 7, 17, 119, 673, 4711, 11441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80070 and 80087. The biggest common factor number is the GCF number.
So the greatest common factor 80070 and 80087 is 17.

Also check out the Least Common Multiple of 80070 and 80087