What is the Greatest Common Factor of 12070 and 12090?

Greatest common factor (GCF) of 12070 and 12090 is 10.

GCF(12070,12090) = 10

We will now calculate the prime factors of 12070 and 12090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12070 and 12090.

How to find the GCF of 12070 and 12090?

We will first find the prime factorization of 12070 and 12090. After we will calculate the factors of 12070 and 12090 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 12090

Prime factors of 12090 are 2, 3, 5, 13, 31. Prime factorization of 12090 in exponential form is:

12090 = 2¹ × 3¹ × 5¹ × 13¹ × 31¹

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 12090

List of positive integer factors of 12090 that divides 12070 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 31, 39, 62, 65, 78, 93, 130, 155, 186, 195, 310, 390, 403, 465, 806, 930, 1209, 2015, 2418, 4030, 6045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12070 and 12090. The biggest common factor number is the GCF number.
So the greatest common factor 12070 and 12090 is 10.

Also check out the Least Common Multiple of 12070 and 12090