What is the Greatest Common Factor of 76043 and 76048?

Greatest common factor (GCF) of 76043 and 76048 is 1.

GCF(76043,76048) = 1

We will now calculate the prime factors of 76043 and 76048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76043 and 76048.

How to find the GCF of 76043 and 76048?

We will first find the prime factorization of 76043 and 76048. After we will calculate the factors of 76043 and 76048 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 76048

Prime factors of 76048 are 2, 7, 97. Prime factorization of 76048 in exponential form is:

76048 = 2⁴ × 7² × 97¹

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 76048

List of positive integer factors of 76048 that divides 76043 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 97, 98, 112, 194, 196, 388, 392, 679, 776, 784, 1358, 1552, 2716, 4753, 5432, 9506, 10864, 19012, 38024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76043 and 76048. The biggest common factor number is the GCF number.
So the greatest common factor 76043 and 76048 is 1.

Also check out the Least Common Multiple of 76043 and 76048