What is the Greatest Common Factor of 78768 and 78782?

Greatest common factor (GCF) of 78768 and 78782 is 2.

GCF(78768,78782) = 2

We will now calculate the prime factors of 78768 and 78782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78768 and 78782.

How to find the GCF of 78768 and 78782?

We will first find the prime factorization of 78768 and 78782. After we will calculate the factors of 78768 and 78782 and find the biggest common factor number .

Step-1: Prime Factorization of 78768

Prime factors of 78768 are 2, 3, 547. Prime factorization of 78768 in exponential form is:

78768 = 2⁴ × 3² × 547¹

Step-2: Prime Factorization of 78782

Prime factors of 78782 are 2, 11, 3581. Prime factorization of 78782 in exponential form is:

78782 = 2¹ × 11¹ × 3581¹

Step-3: Factors of 78768

List of positive integer factors of 78768 that divides 78768 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 547, 1094, 1641, 2188, 3282, 4376, 4923, 6564, 8752, 9846, 13128, 19692, 26256, 39384

Step-4: Factors of 78782

List of positive integer factors of 78782 that divides 78768 without a remainder.

1, 2, 11, 22, 3581, 7162, 39391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78768 and 78782. The biggest common factor number is the GCF number.
So the greatest common factor 78768 and 78782 is 2.

Also check out the Least Common Multiple of 78768 and 78782