What is the Greatest Common Factor of 43920 and 43932?

Greatest common factor (GCF) of 43920 and 43932 is 12.

GCF(43920,43932) = 12

We will now calculate the prime factors of 43920 and 43932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43920 and 43932.

How to find the GCF of 43920 and 43932?

We will first find the prime factorization of 43920 and 43932. After we will calculate the factors of 43920 and 43932 and find the biggest common factor number .

Step-1: Prime Factorization of 43920

Prime factors of 43920 are 2, 3, 5, 61. Prime factorization of 43920 in exponential form is:

43920 = 2⁴ × 3² × 5¹ × 61¹

Step-2: 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-3: Factors of 43920

List of positive integer factors of 43920 that divides 43920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 61, 72, 80, 90, 120, 122, 144, 180, 183, 240, 244, 305, 360, 366, 488, 549, 610, 720, 732, 915, 976, 1098, 1220, 1464, 1830, 2196, 2440, 2745, 2928, 3660, 4392, 4880, 5490, 7320, 8784, 10980, 14640, 21960

Step-4: Factors of 43932

List of positive integer factors of 43932 that divides 43920 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43920 and 43932. The biggest common factor number is the GCF number.
So the greatest common factor 43920 and 43932 is 12.

Also check out the Least Common Multiple of 43920 and 43932