What is the Greatest Common Factor of 43072 and 43090?

Greatest common factor (GCF) of 43072 and 43090 is 2.

GCF(43072,43090) = 2

We will now calculate the prime factors of 43072 and 43090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43072 and 43090.

How to find the GCF of 43072 and 43090?

We will first find the prime factorization of 43072 and 43090. After we will calculate the factors of 43072 and 43090 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 43090

Prime factors of 43090 are 2, 5, 31, 139. Prime factorization of 43090 in exponential form is:

43090 = 2¹ × 5¹ × 31¹ × 139¹

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 43090

List of positive integer factors of 43090 that divides 43072 without a remainder.

1, 2, 5, 10, 31, 62, 139, 155, 278, 310, 695, 1390, 4309, 8618, 21545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43072 and 43090. The biggest common factor number is the GCF number.
So the greatest common factor 43072 and 43090 is 2.

Also check out the Least Common Multiple of 43072 and 43090