What is the Greatest Common Factor of 77850 and 77856?

Greatest common factor (GCF) of 77850 and 77856 is 6.

GCF(77850,77856) = 6

We will now calculate the prime factors of 77850 and 77856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77850 and 77856.

How to find the GCF of 77850 and 77856?

We will first find the prime factorization of 77850 and 77856. After we will calculate the factors of 77850 and 77856 and find the biggest common factor number .

Step-1: Prime Factorization of 77850

Prime factors of 77850 are 2, 3, 5, 173. Prime factorization of 77850 in exponential form is:

77850 = 2¹ × 3² × 5² × 173¹

Step-2: Prime Factorization of 77856

Prime factors of 77856 are 2, 3, 811. Prime factorization of 77856 in exponential form is:

77856 = 2⁵ × 3¹ × 811¹

Step-3: Factors of 77850

List of positive integer factors of 77850 that divides 77850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 173, 225, 346, 450, 519, 865, 1038, 1557, 1730, 2595, 3114, 4325, 5190, 7785, 8650, 12975, 15570, 25950, 38925

Step-4: Factors of 77856

List of positive integer factors of 77856 that divides 77850 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 811, 1622, 2433, 3244, 4866, 6488, 9732, 12976, 19464, 25952, 38928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77850 and 77856. The biggest common factor number is the GCF number.
So the greatest common factor 77850 and 77856 is 6.

Also check out the Least Common Multiple of 77850 and 77856