What is the Greatest Common Factor of 43946 and 43960?

Greatest common factor (GCF) of 43946 and 43960 is 14.

GCF(43946,43960) = 14

We will now calculate the prime factors of 43946 and 43960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43946 and 43960.

How to find the GCF of 43946 and 43960?

We will first find the prime factorization of 43946 and 43960. After we will calculate the factors of 43946 and 43960 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43960

Prime factors of 43960 are 2, 5, 7, 157. Prime factorization of 43960 in exponential form is:

43960 = 2³ × 5¹ × 7¹ × 157¹

Step-3: Factors of 43946

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

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

Step-4: Factors of 43960

List of positive integer factors of 43960 that divides 43946 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 157, 280, 314, 628, 785, 1099, 1256, 1570, 2198, 3140, 4396, 5495, 6280, 8792, 10990, 21980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43946 and 43960. The biggest common factor number is the GCF number.
So the greatest common factor 43946 and 43960 is 14.

Also check out the Least Common Multiple of 43946 and 43960