What is the Greatest Common Factor of 43072 and 43078?

Greatest common factor (GCF) of 43072 and 43078 is 2.

GCF(43072,43078) = 2

We will now calculate the prime factors of 43072 and 43078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43072 and 43078.

How to find the GCF of 43072 and 43078?

We will first find the prime factorization of 43072 and 43078. After we will calculate the factors of 43072 and 43078 and find the biggest common factor number .

Step-1: Prime Factorization of 43072

Prime factors of 43072 are 2, 673. Prime factorization of 43072 in exponential form is:

43072 = 2⁶ × 673¹

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 43072

List of positive integer factors of 43072 that divides 43072 without a remainder.

1, 2, 4, 8, 16, 32, 64, 673, 1346, 2692, 5384, 10768, 21536

Step-4: Factors of 43078

List of positive integer factors of 43078 that divides 43072 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 43072 and 43078. The biggest common factor number is the GCF number.
So the greatest common factor 43072 and 43078 is 2.

Also check out the Least Common Multiple of 43072 and 43078