What is the Greatest Common Factor of 77073 and 77079?

Greatest common factor (GCF) of 77073 and 77079 is 3.

GCF(77073,77079) = 3

We will now calculate the prime factors of 77073 and 77079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77073 and 77079.

How to find the GCF of 77073 and 77079?

We will first find the prime factorization of 77073 and 77079. After we will calculate the factors of 77073 and 77079 and find the biggest common factor number .

Step-1: Prime Factorization of 77073

Prime factors of 77073 are 3, 23, 1117. Prime factorization of 77073 in exponential form is:

77073 = 3¹ × 23¹ × 1117¹

Step-2: Prime Factorization of 77079

Prime factors of 77079 are 3, 25693. Prime factorization of 77079 in exponential form is:

77079 = 3¹ × 25693¹

Step-3: Factors of 77073

List of positive integer factors of 77073 that divides 77073 without a remainder.

1, 3, 23, 69, 1117, 3351, 25691

Step-4: Factors of 77079

List of positive integer factors of 77079 that divides 77073 without a remainder.

1, 3, 25693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77073 and 77079. The biggest common factor number is the GCF number.
So the greatest common factor 77073 and 77079 is 3.

Also check out the Least Common Multiple of 77073 and 77079