What is the Greatest Common Factor of 43932 and 43946?

Greatest common factor (GCF) of 43932 and 43946 is 14.

GCF(43932,43946) = 14

We will now calculate the prime factors of 43932 and 43946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43932 and 43946.

How to find the GCF of 43932 and 43946?

We will first find the prime factorization of 43932 and 43946. After we will calculate the factors of 43932 and 43946 and find the biggest common factor number .

Step-1: Prime Factorization of 43932

Prime factors of 43932 are 2, 3, 7, 523. Prime factorization of 43932 in exponential form is:

43932 = 2² × 3¹ × 7¹ × 523¹

Step-2: Prime Factorization of 43946

Prime factors of 43946 are 2, 7, 43, 73. Prime factorization of 43946 in exponential form is:

43946 = 2¹ × 7¹ × 43¹ × 73¹

Step-3: Factors of 43932

List of positive integer factors of 43932 that divides 43932 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 523, 1046, 1569, 2092, 3138, 3661, 6276, 7322, 10983, 14644, 21966

Step-4: Factors of 43946

List of positive integer factors of 43946 that divides 43932 without a remainder.

1, 2, 7, 14, 43, 73, 86, 146, 301, 511, 602, 1022, 3139, 6278, 21973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43932 and 43946. The biggest common factor number is the GCF number.
So the greatest common factor 43932 and 43946 is 14.

Also check out the Least Common Multiple of 43932 and 43946