What is the Greatest Common Factor of 77829 and 77837?

Greatest common factor (GCF) of 77829 and 77837 is 1.

GCF(77829,77837) = 1

We will now calculate the prime factors of 77829 and 77837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77829 and 77837.

How to find the GCF of 77829 and 77837?

We will first find the prime factorization of 77829 and 77837. After we will calculate the factors of 77829 and 77837 and find the biggest common factor number .

Step-1: Prime Factorization of 77829

Prime factors of 77829 are 3, 25943. Prime factorization of 77829 in exponential form is:

77829 = 3¹ × 25943¹

Step-2: Prime Factorization of 77837

Prime factors of 77837 are 277, 281. Prime factorization of 77837 in exponential form is:

77837 = 277¹ × 281¹

Step-3: Factors of 77829

List of positive integer factors of 77829 that divides 77829 without a remainder.

1, 3, 25943

Step-4: Factors of 77837

List of positive integer factors of 77837 that divides 77829 without a remainder.

1, 277, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77829 and 77837. The biggest common factor number is the GCF number.
So the greatest common factor 77829 and 77837 is 1.

Also check out the Least Common Multiple of 77829 and 77837