What is the Greatest Common Factor of 76043 and 76054?

Greatest common factor (GCF) of 76043 and 76054 is 11.

GCF(76043,76054) = 11

We will now calculate the prime factors of 76043 and 76054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76043 and 76054.

How to find the GCF of 76043 and 76054?

We will first find the prime factorization of 76043 and 76054. After we will calculate the factors of 76043 and 76054 and find the biggest common factor number .

Step-1: Prime Factorization of 76043

Prime factors of 76043 are 11, 31, 223. Prime factorization of 76043 in exponential form is:

76043 = 11¹ × 31¹ × 223¹

Step-2: Prime Factorization of 76054

Prime factors of 76054 are 2, 11, 3457. Prime factorization of 76054 in exponential form is:

76054 = 2¹ × 11¹ × 3457¹

Step-3: Factors of 76043

List of positive integer factors of 76043 that divides 76043 without a remainder.

1, 11, 31, 223, 341, 2453, 6913

Step-4: Factors of 76054

List of positive integer factors of 76054 that divides 76043 without a remainder.

1, 2, 11, 22, 3457, 6914, 38027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76043 and 76054. The biggest common factor number is the GCF number.
So the greatest common factor 76043 and 76054 is 11.

Also check out the Least Common Multiple of 76043 and 76054