What is the Greatest Common Factor of 43064 and 43078?

Greatest common factor (GCF) of 43064 and 43078 is 14.

GCF(43064,43078) = 14

We will now calculate the prime factors of 43064 and 43078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43064 and 43078.

How to find the GCF of 43064 and 43078?

We will first find the prime factorization of 43064 and 43078. After we will calculate the factors of 43064 and 43078 and find the biggest common factor number .

Step-1: Prime Factorization of 43064

Prime factors of 43064 are 2, 7, 769. Prime factorization of 43064 in exponential form is:

43064 = 2³ × 7¹ × 769¹

Step-2: Prime Factorization of 43078

Prime factors of 43078 are 2, 7, 17, 181. Prime factorization of 43078 in exponential form is:

43078 = 2¹ × 7¹ × 17¹ × 181¹

Step-3: Factors of 43064

List of positive integer factors of 43064 that divides 43064 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 769, 1538, 3076, 5383, 6152, 10766, 21532

Step-4: Factors of 43078

List of positive integer factors of 43078 that divides 43064 without a remainder.

1, 2, 7, 14, 17, 34, 119, 181, 238, 362, 1267, 2534, 3077, 6154, 21539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43064 and 43078. The biggest common factor number is the GCF number.
So the greatest common factor 43064 and 43078 is 14.

Also check out the Least Common Multiple of 43064 and 43078