What is the Greatest Common Factor of 76782 and 76788?

Greatest common factor (GCF) of 76782 and 76788 is 6.

GCF(76782,76788) = 6

We will now calculate the prime factors of 76782 and 76788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76782 and 76788.

How to find the GCF of 76782 and 76788?

We will first find the prime factorization of 76782 and 76788. After we will calculate the factors of 76782 and 76788 and find the biggest common factor number .

Step-1: Prime Factorization of 76782

Prime factors of 76782 are 2, 3, 67, 191. Prime factorization of 76782 in exponential form is:

76782 = 2¹ × 3¹ × 67¹ × 191¹

Step-2: Prime Factorization of 76788

Prime factors of 76788 are 2, 3, 79. Prime factorization of 76788 in exponential form is:

76788 = 2² × 3⁵ × 79¹

Step-3: Factors of 76782

List of positive integer factors of 76782 that divides 76782 without a remainder.

1, 2, 3, 6, 67, 134, 191, 201, 382, 402, 573, 1146, 12797, 25594, 38391

Step-4: Factors of 76788

List of positive integer factors of 76788 that divides 76782 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 81, 108, 158, 162, 237, 243, 316, 324, 474, 486, 711, 948, 972, 1422, 2133, 2844, 4266, 6399, 8532, 12798, 19197, 25596, 38394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76782 and 76788. The biggest common factor number is the GCF number.
So the greatest common factor 76782 and 76788 is 6.

Also check out the Least Common Multiple of 76782 and 76788