What is the Greatest Common Factor of 24073 and 24092?

Greatest common factor (GCF) of 24073 and 24092 is 19.

GCF(24073,24092) = 19

We will now calculate the prime factors of 24073 and 24092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24073 and 24092.

How to find the GCF of 24073 and 24092?

We will first find the prime factorization of 24073 and 24092. After we will calculate the factors of 24073 and 24092 and find the biggest common factor number .

Step-1: Prime Factorization of 24073

Prime factors of 24073 are 7, 19, 181. Prime factorization of 24073 in exponential form is:

24073 = 7¹ × 19¹ × 181¹

Step-2: Prime Factorization of 24092

Prime factors of 24092 are 2, 19, 317. Prime factorization of 24092 in exponential form is:

24092 = 2² × 19¹ × 317¹

Step-3: Factors of 24073

List of positive integer factors of 24073 that divides 24073 without a remainder.

1, 7, 19, 133, 181, 1267, 3439

Step-4: Factors of 24092

List of positive integer factors of 24092 that divides 24073 without a remainder.

1, 2, 4, 19, 38, 76, 317, 634, 1268, 6023, 12046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24073 and 24092. The biggest common factor number is the GCF number.
So the greatest common factor 24073 and 24092 is 19.

Also check out the Least Common Multiple of 24073 and 24092