What is the Greatest Common Factor of 76782 and 76787?

Greatest common factor (GCF) of 76782 and 76787 is 1.

GCF(76782,76787) = 1

We will now calculate the prime factors of 76782 and 76787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76782 and 76787.

How to find the GCF of 76782 and 76787?

We will first find the prime factorization of 76782 and 76787. After we will calculate the factors of 76782 and 76787 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 76787

Prime factors of 76787 are 31, 2477. Prime factorization of 76787 in exponential form is:

76787 = 31¹ × 2477¹

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 76787

List of positive integer factors of 76787 that divides 76782 without a remainder.

1, 31, 2477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76782 and 76787. The biggest common factor number is the GCF number.
So the greatest common factor 76782 and 76787 is 1.

Also check out the Least Common Multiple of 76782 and 76787