What is the Greatest Common Factor of 77102 and 77116?

Greatest common factor (GCF) of 77102 and 77116 is 2.

GCF(77102,77116) = 2

We will now calculate the prime factors of 77102 and 77116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77102 and 77116.

How to find the GCF of 77102 and 77116?

We will first find the prime factorization of 77102 and 77116. After we will calculate the factors of 77102 and 77116 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77116

Prime factors of 77116 are 2, 13, 1483. Prime factorization of 77116 in exponential form is:

77116 = 2² × 13¹ × 1483¹

Step-3: Factors of 77102

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

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

Step-4: Factors of 77116

List of positive integer factors of 77116 that divides 77102 without a remainder.

1, 2, 4, 13, 26, 52, 1483, 2966, 5932, 19279, 38558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77102 and 77116. The biggest common factor number is the GCF number.
So the greatest common factor 77102 and 77116 is 2.

Also check out the Least Common Multiple of 77102 and 77116