What is the Greatest Common Factor of 24495 and 24503?

Greatest common factor (GCF) of 24495 and 24503 is 1.

GCF(24495,24503) = 1

We will now calculate the prime factors of 24495 and 24503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24495 and 24503.

How to find the GCF of 24495 and 24503?

We will first find the prime factorization of 24495 and 24503. After we will calculate the factors of 24495 and 24503 and find the biggest common factor number .

Step-1: Prime Factorization of 24495

Prime factors of 24495 are 3, 5, 23, 71. Prime factorization of 24495 in exponential form is:

24495 = 3¹ × 5¹ × 23¹ × 71¹

Step-2: Prime Factorization of 24503

Prime factors of 24503 are 107, 229. Prime factorization of 24503 in exponential form is:

24503 = 107¹ × 229¹

Step-3: Factors of 24495

List of positive integer factors of 24495 that divides 24495 without a remainder.

1, 3, 5, 15, 23, 69, 71, 115, 213, 345, 355, 1065, 1633, 4899, 8165

Step-4: Factors of 24503

List of positive integer factors of 24503 that divides 24495 without a remainder.

1, 107, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24495 and 24503. The biggest common factor number is the GCF number.
So the greatest common factor 24495 and 24503 is 1.

Also check out the Least Common Multiple of 24495 and 24503