What is the Greatest Common Factor of 76038 and 76048?

Greatest common factor (GCF) of 76038 and 76048 is 2.

GCF(76038,76048) = 2

We will now calculate the prime factors of 76038 and 76048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76038 and 76048.

How to find the GCF of 76038 and 76048?

We will first find the prime factorization of 76038 and 76048. After we will calculate the factors of 76038 and 76048 and find the biggest common factor number .

Step-1: Prime Factorization of 76038

Prime factors of 76038 are 2, 3, 19, 23, 29. Prime factorization of 76038 in exponential form is:

76038 = 2¹ × 3¹ × 19¹ × 23¹ × 29¹

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 76038

List of positive integer factors of 76038 that divides 76038 without a remainder.

1, 2, 3, 6, 19, 23, 29, 38, 46, 57, 58, 69, 87, 114, 138, 174, 437, 551, 667, 874, 1102, 1311, 1334, 1653, 2001, 2622, 3306, 4002, 12673, 25346, 38019

Step-4: Factors of 76048

List of positive integer factors of 76048 that divides 76038 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 76038 and 76048. The biggest common factor number is the GCF number.
So the greatest common factor 76038 and 76048 is 2.

Also check out the Least Common Multiple of 76038 and 76048