What is the Greatest Common Factor of 77838 and 77844?

Greatest common factor (GCF) of 77838 and 77844 is 6.

GCF(77838,77844) = 6

We will now calculate the prime factors of 77838 and 77844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77838 and 77844.

How to find the GCF of 77838 and 77844?

We will first find the prime factorization of 77838 and 77844. After we will calculate the factors of 77838 and 77844 and find the biggest common factor number .

Step-1: Prime Factorization of 77838

Prime factors of 77838 are 2, 3, 12973. Prime factorization of 77838 in exponential form is:

77838 = 2¹ × 3¹ × 12973¹

Step-2: 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-3: Factors of 77838

List of positive integer factors of 77838 that divides 77838 without a remainder.

1, 2, 3, 6, 12973, 25946, 38919

Step-4: Factors of 77844

List of positive integer factors of 77844 that divides 77838 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77838 and 77844. The biggest common factor number is the GCF number.
So the greatest common factor 77838 and 77844 is 6.

Also check out the Least Common Multiple of 77838 and 77844