What is the Greatest Common Factor of 12070 and 12080?

Greatest common factor (GCF) of 12070 and 12080 is 10.

GCF(12070,12080) = 10

We will now calculate the prime factors of 12070 and 12080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12070 and 12080.

How to find the GCF of 12070 and 12080?

We will first find the prime factorization of 12070 and 12080. After we will calculate the factors of 12070 and 12080 and find the biggest common factor number .

Step-1: Prime Factorization of 12070

Prime factors of 12070 are 2, 5, 17, 71. Prime factorization of 12070 in exponential form is:

12070 = 2¹ × 5¹ × 17¹ × 71¹

Step-2: Prime Factorization of 12080

Prime factors of 12080 are 2, 5, 151. Prime factorization of 12080 in exponential form is:

12080 = 2⁴ × 5¹ × 151¹

Step-3: Factors of 12070

List of positive integer factors of 12070 that divides 12070 without a remainder.

1, 2, 5, 10, 17, 34, 71, 85, 142, 170, 355, 710, 1207, 2414, 6035

Step-4: Factors of 12080

List of positive integer factors of 12080 that divides 12070 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 151, 302, 604, 755, 1208, 1510, 2416, 3020, 6040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12070 and 12080. The biggest common factor number is the GCF number.
So the greatest common factor 12070 and 12080 is 10.

Also check out the Least Common Multiple of 12070 and 12080