What is the Greatest Common Factor of 43905 and 43920?

Greatest common factor (GCF) of 43905 and 43920 is 15.

GCF(43905,43920) = 15

We will now calculate the prime factors of 43905 and 43920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43905 and 43920.

How to find the GCF of 43905 and 43920?

We will first find the prime factorization of 43905 and 43920. After we will calculate the factors of 43905 and 43920 and find the biggest common factor number .

Step-1: Prime Factorization of 43905

Prime factors of 43905 are 3, 5, 2927. Prime factorization of 43905 in exponential form is:

43905 = 3¹ × 5¹ × 2927¹

Step-2: 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-3: Factors of 43905

List of positive integer factors of 43905 that divides 43905 without a remainder.

1, 3, 5, 15, 2927, 8781, 14635

Step-4: Factors of 43920

List of positive integer factors of 43920 that divides 43905 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43905 and 43920. The biggest common factor number is the GCF number.
So the greatest common factor 43905 and 43920 is 15.

Also check out the Least Common Multiple of 43905 and 43920