What is the Greatest Common Factor of 43494 and 43502?

Greatest common factor (GCF) of 43494 and 43502 is 2.

GCF(43494,43502) = 2

We will now calculate the prime factors of 43494 and 43502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43494 and 43502.

How to find the GCF of 43494 and 43502?

We will first find the prime factorization of 43494 and 43502. After we will calculate the factors of 43494 and 43502 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 43502

Prime factors of 43502 are 2, 21751. Prime factorization of 43502 in exponential form is:

43502 = 2¹ × 21751¹

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 43502

List of positive integer factors of 43502 that divides 43494 without a remainder.

1, 2, 21751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43494 and 43502. The biggest common factor number is the GCF number.
So the greatest common factor 43494 and 43502 is 2.

Also check out the Least Common Multiple of 43494 and 43502