What is the Greatest Common Factor of 43474 and 43494?

Greatest common factor (GCF) of 43474 and 43494 is 2.

GCF(43474,43494) = 2

We will now calculate the prime factors of 43474 and 43494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43474 and 43494.

How to find the GCF of 43474 and 43494?

We will first find the prime factorization of 43474 and 43494. After we will calculate the factors of 43474 and 43494 and find the biggest common factor number .

Step-1: Prime Factorization of 43474

Prime factors of 43474 are 2, 21737. Prime factorization of 43474 in exponential form is:

43474 = 2¹ × 21737¹

Step-2: 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-3: Factors of 43474

List of positive integer factors of 43474 that divides 43474 without a remainder.

1, 2, 21737

Step-4: Factors of 43494

List of positive integer factors of 43494 that divides 43474 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43474 and 43494. The biggest common factor number is the GCF number.
So the greatest common factor 43474 and 43494 is 2.

Also check out the Least Common Multiple of 43474 and 43494