What is the Greatest Common Factor of 76821 and 76838?

Greatest common factor (GCF) of 76821 and 76838 is 1.

GCF(76821,76838) = 1

We will now calculate the prime factors of 76821 and 76838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76821 and 76838.

How to find the GCF of 76821 and 76838?

We will first find the prime factorization of 76821 and 76838. After we will calculate the factors of 76821 and 76838 and find the biggest common factor number .

Step-1: Prime Factorization of 76821

Prime factors of 76821 are 3, 29, 883. Prime factorization of 76821 in exponential form is:

76821 = 3¹ × 29¹ × 883¹

Step-2: Prime Factorization of 76838

Prime factors of 76838 are 2, 103, 373. Prime factorization of 76838 in exponential form is:

76838 = 2¹ × 103¹ × 373¹

Step-3: Factors of 76821

List of positive integer factors of 76821 that divides 76821 without a remainder.

1, 3, 29, 87, 883, 2649, 25607

Step-4: Factors of 76838

List of positive integer factors of 76838 that divides 76821 without a remainder.

1, 2, 103, 206, 373, 746, 38419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76821 and 76838. The biggest common factor number is the GCF number.
So the greatest common factor 76821 and 76838 is 1.

Also check out the Least Common Multiple of 76821 and 76838