What is the Greatest Common Factor of 77844 and 77849?

Greatest common factor (GCF) of 77844 and 77849 is 1.

GCF(77844,77849) = 1

We will now calculate the prime factors of 77844 and 77849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77844 and 77849.

How to find the GCF of 77844 and 77849?

We will first find the prime factorization of 77844 and 77849. After we will calculate the factors of 77844 and 77849 and find the biggest common factor number .

Step-1: Prime Factorization of 77844

Prime factors of 77844 are 2, 3, 13, 499. Prime factorization of 77844 in exponential form is:

77844 = 2² × 3¹ × 13¹ × 499¹

Step-2: Prime Factorization of 77849

Prime factors of 77849 are 77849. Prime factorization of 77849 in exponential form is:

77849 = 77849¹

Step-3: Factors of 77844

List of positive integer factors of 77844 that divides 77844 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 499, 998, 1497, 1996, 2994, 5988, 6487, 12974, 19461, 25948, 38922

Step-4: Factors of 77849

List of positive integer factors of 77849 that divides 77844 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77844 and 77849. The biggest common factor number is the GCF number.
So the greatest common factor 77844 and 77849 is 1.

Also check out the Least Common Multiple of 77844 and 77849