What is the Greatest Common Factor of 76048 and 76053?

Greatest common factor (GCF) of 76048 and 76053 is 1.

GCF(76048,76053) = 1

We will now calculate the prime factors of 76048 and 76053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76048 and 76053.

How to find the GCF of 76048 and 76053?

We will first find the prime factorization of 76048 and 76053. After we will calculate the factors of 76048 and 76053 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 76053

Prime factors of 76053 are 3, 101, 251. Prime factorization of 76053 in exponential form is:

76053 = 3¹ × 101¹ × 251¹

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 76053

List of positive integer factors of 76053 that divides 76048 without a remainder.

1, 3, 101, 251, 303, 753, 25351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76048 and 76053. The biggest common factor number is the GCF number.
So the greatest common factor 76048 and 76053 is 1.

Also check out the Least Common Multiple of 76048 and 76053