What is the Greatest Common Factor of 76782 and 76798?

Greatest common factor (GCF) of 76782 and 76798 is 2.

GCF(76782,76798) = 2

We will now calculate the prime factors of 76782 and 76798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76782 and 76798.

How to find the GCF of 76782 and 76798?

We will first find the prime factorization of 76782 and 76798. After we will calculate the factors of 76782 and 76798 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 76798

Prime factors of 76798 are 2, 19, 43, 47. Prime factorization of 76798 in exponential form is:

76798 = 2¹ × 19¹ × 43¹ × 47¹

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 76798

List of positive integer factors of 76798 that divides 76782 without a remainder.

1, 2, 19, 38, 43, 47, 86, 94, 817, 893, 1634, 1786, 2021, 4042, 38399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76782 and 76798. The biggest common factor number is the GCF number.
So the greatest common factor 76782 and 76798 is 2.

Also check out the Least Common Multiple of 76782 and 76798