What is the Greatest Common Factor of 76848 and 76867?

Greatest common factor (GCF) of 76848 and 76867 is 1.

GCF(76848,76867) = 1

We will now calculate the prime factors of 76848 and 76867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76848 and 76867.

How to find the GCF of 76848 and 76867?

We will first find the prime factorization of 76848 and 76867. After we will calculate the factors of 76848 and 76867 and find the biggest common factor number .

Step-1: Prime Factorization of 76848

Prime factors of 76848 are 2, 3, 1601. Prime factorization of 76848 in exponential form is:

76848 = 2⁴ × 3¹ × 1601¹

Step-2: Prime Factorization of 76867

Prime factors of 76867 are 7, 79, 139. Prime factorization of 76867 in exponential form is:

76867 = 7¹ × 79¹ × 139¹

Step-3: Factors of 76848

List of positive integer factors of 76848 that divides 76848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1601, 3202, 4803, 6404, 9606, 12808, 19212, 25616, 38424

Step-4: Factors of 76867

List of positive integer factors of 76867 that divides 76848 without a remainder.

1, 7, 79, 139, 553, 973, 10981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76848 and 76867. The biggest common factor number is the GCF number.
So the greatest common factor 76848 and 76867 is 1.

Also check out the Least Common Multiple of 76848 and 76867