What is the Greatest Common Factor of 12020 and 12030?

Greatest common factor (GCF) of 12020 and 12030 is 10.

GCF(12020,12030) = 10

We will now calculate the prime factors of 12020 and 12030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12020 and 12030.

How to find the GCF of 12020 and 12030?

We will first find the prime factorization of 12020 and 12030. After we will calculate the factors of 12020 and 12030 and find the biggest common factor number .

Step-1: Prime Factorization of 12020

Prime factors of 12020 are 2, 5, 601. Prime factorization of 12020 in exponential form is:

12020 = 2² × 5¹ × 601¹

Step-2: Prime Factorization of 12030

Prime factors of 12030 are 2, 3, 5, 401. Prime factorization of 12030 in exponential form is:

12030 = 2¹ × 3¹ × 5¹ × 401¹

Step-3: Factors of 12020

List of positive integer factors of 12020 that divides 12020 without a remainder.

1, 2, 4, 5, 10, 20, 601, 1202, 2404, 3005, 6010

Step-4: Factors of 12030

List of positive integer factors of 12030 that divides 12020 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 401, 802, 1203, 2005, 2406, 4010, 6015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12020 and 12030. The biggest common factor number is the GCF number.
So the greatest common factor 12020 and 12030 is 10.

Also check out the Least Common Multiple of 12020 and 12030