What is the Greatest Common Factor of 24492 and 24509?

Greatest common factor (GCF) of 24492 and 24509 is 1.

GCF(24492,24509) = 1

We will now calculate the prime factors of 24492 and 24509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24492 and 24509.

How to find the GCF of 24492 and 24509?

We will first find the prime factorization of 24492 and 24509. After we will calculate the factors of 24492 and 24509 and find the biggest common factor number .

Step-1: Prime Factorization of 24492

Prime factors of 24492 are 2, 3, 13, 157. Prime factorization of 24492 in exponential form is:

24492 = 2² × 3¹ × 13¹ × 157¹

Step-2: Prime Factorization of 24509

Prime factors of 24509 are 24509. Prime factorization of 24509 in exponential form is:

24509 = 24509¹

Step-3: Factors of 24492

List of positive integer factors of 24492 that divides 24492 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 157, 314, 471, 628, 942, 1884, 2041, 4082, 6123, 8164, 12246

Step-4: Factors of 24509

List of positive integer factors of 24509 that divides 24492 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24492 and 24509. The biggest common factor number is the GCF number.
So the greatest common factor 24492 and 24509 is 1.

Also check out the Least Common Multiple of 24492 and 24509