What is the Greatest Common Factor of 24074 and 24080?

Greatest common factor (GCF) of 24074 and 24080 is 2.

GCF(24074,24080) = 2

We will now calculate the prime factors of 24074 and 24080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24074 and 24080.

How to find the GCF of 24074 and 24080?

We will first find the prime factorization of 24074 and 24080. After we will calculate the factors of 24074 and 24080 and find the biggest common factor number .

Step-1: Prime Factorization of 24074

Prime factors of 24074 are 2, 12037. Prime factorization of 24074 in exponential form is:

24074 = 2¹ × 12037¹

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 24074

List of positive integer factors of 24074 that divides 24074 without a remainder.

1, 2, 12037

Step-4: Factors of 24080

List of positive integer factors of 24080 that divides 24074 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 24074 and 24080. The biggest common factor number is the GCF number.
So the greatest common factor 24074 and 24080 is 2.

Also check out the Least Common Multiple of 24074 and 24080