What is the Greatest Common Factor of 43494 and 43503?

Greatest common factor (GCF) of 43494 and 43503 is 3.

GCF(43494,43503) = 3

We will now calculate the prime factors of 43494 and 43503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43494 and 43503.

How to find the GCF of 43494 and 43503?

We will first find the prime factorization of 43494 and 43503. After we will calculate the factors of 43494 and 43503 and find the biggest common factor number .

Step-1: Prime Factorization of 43494

Prime factors of 43494 are 2, 3, 11, 659. Prime factorization of 43494 in exponential form is:

43494 = 2¹ × 3¹ × 11¹ × 659¹

Step-2: Prime Factorization of 43503

Prime factors of 43503 are 3, 17, 853. Prime factorization of 43503 in exponential form is:

43503 = 3¹ × 17¹ × 853¹

Step-3: Factors of 43494

List of positive integer factors of 43494 that divides 43494 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 659, 1318, 1977, 3954, 7249, 14498, 21747

Step-4: Factors of 43503

List of positive integer factors of 43503 that divides 43494 without a remainder.

1, 3, 17, 51, 853, 2559, 14501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43494 and 43503. The biggest common factor number is the GCF number.
So the greatest common factor 43494 and 43503 is 3.

Also check out the Least Common Multiple of 43494 and 43503