What is the Greatest Common Factor of 24060 and 24080?

Greatest common factor (GCF) of 24060 and 24080 is 20.

GCF(24060,24080) = 20

We will now calculate the prime factors of 24060 and 24080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24060 and 24080.

How to find the GCF of 24060 and 24080?

We will first find the prime factorization of 24060 and 24080. After we will calculate the factors of 24060 and 24080 and find the biggest common factor number .

Step-1: Prime Factorization of 24060

Prime factors of 24060 are 2, 3, 5, 401. Prime factorization of 24060 in exponential form is:

24060 = 2² × 3¹ × 5¹ × 401¹

Step-2: Prime Factorization of 24080

Prime factors of 24080 are 2, 5, 7, 43. Prime factorization of 24080 in exponential form is:

24080 = 2⁴ × 5¹ × 7¹ × 43¹

Step-3: Factors of 24060

List of positive integer factors of 24060 that divides 24060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 401, 802, 1203, 1604, 2005, 2406, 4010, 4812, 6015, 8020, 12030

Step-4: Factors of 24080

List of positive integer factors of 24080 that divides 24060 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 43, 56, 70, 80, 86, 112, 140, 172, 215, 280, 301, 344, 430, 560, 602, 688, 860, 1204, 1505, 1720, 2408, 3010, 3440, 4816, 6020, 12040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24060 and 24080. The biggest common factor number is the GCF number.
So the greatest common factor 24060 and 24080 is 20.

Also check out the Least Common Multiple of 24060 and 24080