What is the Greatest Common Factor of 78765 and 78769?

Greatest common factor (GCF) of 78765 and 78769 is 1.

GCF(78765,78769) = 1

We will now calculate the prime factors of 78765 and 78769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78765 and 78769.

How to find the GCF of 78765 and 78769?

We will first find the prime factorization of 78765 and 78769. After we will calculate the factors of 78765 and 78769 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78769

Prime factors of 78769 are 227, 347. Prime factorization of 78769 in exponential form is:

78769 = 227¹ × 347¹

Step-3: Factors of 78765

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

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

Step-4: Factors of 78769

List of positive integer factors of 78769 that divides 78765 without a remainder.

1, 227, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78765 and 78769. The biggest common factor number is the GCF number.
So the greatest common factor 78765 and 78769 is 1.

Also check out the Least Common Multiple of 78765 and 78769