What is the Greatest Common Factor of 43274 and 43288?

Greatest common factor (GCF) of 43274 and 43288 is 14.

GCF(43274,43288) = 14

We will now calculate the prime factors of 43274 and 43288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43274 and 43288.

How to find the GCF of 43274 and 43288?

We will first find the prime factorization of 43274 and 43288. After we will calculate the factors of 43274 and 43288 and find the biggest common factor number .

Step-1: Prime Factorization of 43274

Prime factors of 43274 are 2, 7, 11, 281. Prime factorization of 43274 in exponential form is:

43274 = 2¹ × 7¹ × 11¹ × 281¹

Step-2: Prime Factorization of 43288

Prime factors of 43288 are 2, 7, 773. Prime factorization of 43288 in exponential form is:

43288 = 2³ × 7¹ × 773¹

Step-3: Factors of 43274

List of positive integer factors of 43274 that divides 43274 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 281, 562, 1967, 3091, 3934, 6182, 21637

Step-4: Factors of 43288

List of positive integer factors of 43288 that divides 43274 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 773, 1546, 3092, 5411, 6184, 10822, 21644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43274 and 43288. The biggest common factor number is the GCF number.
So the greatest common factor 43274 and 43288 is 14.

Also check out the Least Common Multiple of 43274 and 43288