What is the Greatest Common Factor of 78764 and 78768?

Greatest common factor (GCF) of 78764 and 78768 is 4.

GCF(78764,78768) = 4

We will now calculate the prime factors of 78764 and 78768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78764 and 78768.

How to find the GCF of 78764 and 78768?

We will first find the prime factorization of 78764 and 78768. After we will calculate the factors of 78764 and 78768 and find the biggest common factor number .

Step-1: Prime Factorization of 78764

Prime factors of 78764 are 2, 7, 29, 97. Prime factorization of 78764 in exponential form is:

78764 = 2² × 7¹ × 29¹ × 97¹

Step-2: 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-3: Factors of 78764

List of positive integer factors of 78764 that divides 78764 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 97, 116, 194, 203, 388, 406, 679, 812, 1358, 2716, 2813, 5626, 11252, 19691, 39382

Step-4: Factors of 78768

List of positive integer factors of 78768 that divides 78764 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78764 and 78768. The biggest common factor number is the GCF number.
So the greatest common factor 78764 and 78768 is 4.

Also check out the Least Common Multiple of 78764 and 78768