What is the Greatest Common Factor of 76036 and 76048?

Greatest common factor (GCF) of 76036 and 76048 is 4.

GCF(76036,76048) = 4

We will now calculate the prime factors of 76036 and 76048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76036 and 76048.

How to find the GCF of 76036 and 76048?

We will first find the prime factorization of 76036 and 76048. After we will calculate the factors of 76036 and 76048 and find the biggest common factor number .

Step-1: Prime Factorization of 76036

Prime factors of 76036 are 2, 19009. Prime factorization of 76036 in exponential form is:

76036 = 2² × 19009¹

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 76036

List of positive integer factors of 76036 that divides 76036 without a remainder.

1, 2, 4, 19009, 38018

Step-4: Factors of 76048

List of positive integer factors of 76048 that divides 76036 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 76036 and 76048. The biggest common factor number is the GCF number.
So the greatest common factor 76036 and 76048 is 4.

Also check out the Least Common Multiple of 76036 and 76048