What is the Greatest Common Factor of 77084 and 77102?

Greatest common factor (GCF) of 77084 and 77102 is 2.

GCF(77084,77102) = 2

We will now calculate the prime factors of 77084 and 77102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77084 and 77102.

How to find the GCF of 77084 and 77102?

We will first find the prime factorization of 77084 and 77102. After we will calculate the factors of 77084 and 77102 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 77102

Prime factors of 77102 are 2, 19, 2029. Prime factorization of 77102 in exponential form is:

77102 = 2¹ × 19¹ × 2029¹

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 77102

List of positive integer factors of 77102 that divides 77084 without a remainder.

1, 2, 19, 38, 2029, 4058, 38551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77084 and 77102. The biggest common factor number is the GCF number.
So the greatest common factor 77084 and 77102 is 2.

Also check out the Least Common Multiple of 77084 and 77102