What is the Greatest Common Factor of 24070 and 24080?

Greatest common factor (GCF) of 24070 and 24080 is 10.

GCF(24070,24080) = 10

We will now calculate the prime factors of 24070 and 24080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24070 and 24080.

How to find the GCF of 24070 and 24080?

We will first find the prime factorization of 24070 and 24080. After we will calculate the factors of 24070 and 24080 and find the biggest common factor number .

Step-1: Prime Factorization of 24070

Prime factors of 24070 are 2, 5, 29, 83. Prime factorization of 24070 in exponential form is:

24070 = 2¹ × 5¹ × 29¹ × 83¹

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 24070

List of positive integer factors of 24070 that divides 24070 without a remainder.

1, 2, 5, 10, 29, 58, 83, 145, 166, 290, 415, 830, 2407, 4814, 12035

Step-4: Factors of 24080

List of positive integer factors of 24080 that divides 24070 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 24070 and 24080. The biggest common factor number is the GCF number.
So the greatest common factor 24070 and 24080 is 10.

Also check out the Least Common Multiple of 24070 and 24080