What is the Greatest Common Factor of 77084 and 77098?

Greatest common factor (GCF) of 77084 and 77098 is 14.

GCF(77084,77098) = 14

We will now calculate the prime factors of 77084 and 77098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77084 and 77098.

How to find the GCF of 77084 and 77098?

We will first find the prime factorization of 77084 and 77098. After we will calculate the factors of 77084 and 77098 and find the biggest common factor number .

Step-1: Prime Factorization of 77084

Prime factors of 77084 are 2, 7, 2753. Prime factorization of 77084 in exponential form is:

77084 = 2² × 7¹ × 2753¹

Step-2: Prime Factorization of 77098

Prime factors of 77098 are 2, 7, 5507. Prime factorization of 77098 in exponential form is:

77098 = 2¹ × 7¹ × 5507¹

Step-3: Factors of 77084

List of positive integer factors of 77084 that divides 77084 without a remainder.

1, 2, 4, 7, 14, 28, 2753, 5506, 11012, 19271, 38542

Step-4: Factors of 77098

List of positive integer factors of 77098 that divides 77084 without a remainder.

1, 2, 7, 14, 5507, 11014, 38549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77084 and 77098. The biggest common factor number is the GCF number.
So the greatest common factor 77084 and 77098 is 14.

Also check out the Least Common Multiple of 77084 and 77098