What is the Greatest Common Factor of 77091 and 77105?

Greatest common factor (GCF) of 77091 and 77105 is 7.

GCF(77091,77105) = 7

We will now calculate the prime factors of 77091 and 77105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77091 and 77105.

How to find the GCF of 77091 and 77105?

We will first find the prime factorization of 77091 and 77105. After we will calculate the factors of 77091 and 77105 and find the biggest common factor number .

Step-1: Prime Factorization of 77091

Prime factors of 77091 are 3, 7, 3671. Prime factorization of 77091 in exponential form is:

77091 = 3¹ × 7¹ × 3671¹

Step-2: Prime Factorization of 77105

Prime factors of 77105 are 5, 7, 2203. Prime factorization of 77105 in exponential form is:

77105 = 5¹ × 7¹ × 2203¹

Step-3: Factors of 77091

List of positive integer factors of 77091 that divides 77091 without a remainder.

1, 3, 7, 21, 3671, 11013, 25697

Step-4: Factors of 77105

List of positive integer factors of 77105 that divides 77091 without a remainder.

1, 5, 7, 35, 2203, 11015, 15421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77091 and 77105. The biggest common factor number is the GCF number.
So the greatest common factor 77091 and 77105 is 7.

Also check out the Least Common Multiple of 77091 and 77105