What is the Greatest Common Factor of 43072 and 43077?

Greatest common factor (GCF) of 43072 and 43077 is 1.

GCF(43072,43077) = 1

We will now calculate the prime factors of 43072 and 43077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43072 and 43077.

How to find the GCF of 43072 and 43077?

We will first find the prime factorization of 43072 and 43077. After we will calculate the factors of 43072 and 43077 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 43077

Prime factors of 43077 are 3, 83, 173. Prime factorization of 43077 in exponential form is:

43077 = 3¹ × 83¹ × 173¹

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 43077

List of positive integer factors of 43077 that divides 43072 without a remainder.

1, 3, 83, 173, 249, 519, 14359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43072 and 43077. The biggest common factor number is the GCF number.
So the greatest common factor 43072 and 43077 is 1.

Also check out the Least Common Multiple of 43072 and 43077