What is the Greatest Common Factor of 12053 and 12070?

Greatest common factor (GCF) of 12053 and 12070 is 17.

GCF(12053,12070) = 17

We will now calculate the prime factors of 12053 and 12070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12053 and 12070.

How to find the GCF of 12053 and 12070?

We will first find the prime factorization of 12053 and 12070. After we will calculate the factors of 12053 and 12070 and find the biggest common factor number .

Step-1: Prime Factorization of 12053

Prime factors of 12053 are 17, 709. Prime factorization of 12053 in exponential form is:

12053 = 17¹ × 709¹

Step-2: 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-3: Factors of 12053

List of positive integer factors of 12053 that divides 12053 without a remainder.

1, 17, 709

Step-4: Factors of 12070

List of positive integer factors of 12070 that divides 12053 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12053 and 12070. The biggest common factor number is the GCF number.
So the greatest common factor 12053 and 12070 is 17.

Also check out the Least Common Multiple of 12053 and 12070