What is the Greatest Common Factor of 76048 and 76068?

Greatest common factor (GCF) of 76048 and 76068 is 4.

GCF(76048,76068) = 4

We will now calculate the prime factors of 76048 and 76068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76048 and 76068.

How to find the GCF of 76048 and 76068?

We will first find the prime factorization of 76048 and 76068. After we will calculate the factors of 76048 and 76068 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76068

Prime factors of 76068 are 2, 3, 2113. Prime factorization of 76068 in exponential form is:

76068 = 2² × 3² × 2113¹

Step-3: Factors of 76048

List of positive integer factors of 76048 that divides 76048 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

Step-4: Factors of 76068

List of positive integer factors of 76068 that divides 76048 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2113, 4226, 6339, 8452, 12678, 19017, 25356, 38034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76048 and 76068. The biggest common factor number is the GCF number.
So the greatest common factor 76048 and 76068 is 4.

Also check out the Least Common Multiple of 76048 and 76068