What is the Greatest Common Factor of 78747 and 78765?

Greatest common factor (GCF) of 78747 and 78765 is 3.

GCF(78747,78765) = 3

We will now calculate the prime factors of 78747 and 78765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78747 and 78765.

How to find the GCF of 78747 and 78765?

We will first find the prime factorization of 78747 and 78765. After we will calculate the factors of 78747 and 78765 and find the biggest common factor number .

Step-1: Prime Factorization of 78747

Prime factors of 78747 are 3, 26249. Prime factorization of 78747 in exponential form is:

78747 = 3¹ × 26249¹

Step-2: Prime Factorization of 78765

Prime factors of 78765 are 3, 5, 59, 89. Prime factorization of 78765 in exponential form is:

78765 = 3¹ × 5¹ × 59¹ × 89¹

Step-3: Factors of 78747

List of positive integer factors of 78747 that divides 78747 without a remainder.

1, 3, 26249

Step-4: Factors of 78765

List of positive integer factors of 78765 that divides 78747 without a remainder.

1, 3, 5, 15, 59, 89, 177, 267, 295, 445, 885, 1335, 5251, 15753, 26255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78747 and 78765. The biggest common factor number is the GCF number.
So the greatest common factor 78747 and 78765 is 3.

Also check out the Least Common Multiple of 78747 and 78765