What is the Greatest Common Factor of 68098 and 68116?

Greatest common factor (GCF) of 68098 and 68116 is 2.

GCF(68098,68116) = 2

We will now calculate the prime factors of 68098 and 68116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68098 and 68116.

How to find the GCF of 68098 and 68116?

We will first find the prime factorization of 68098 and 68116. After we will calculate the factors of 68098 and 68116 and find the biggest common factor number .

Step-1: Prime Factorization of 68098

Prime factors of 68098 are 2, 79, 431. Prime factorization of 68098 in exponential form is:

68098 = 2¹ × 79¹ × 431¹

Step-2: Prime Factorization of 68116

Prime factors of 68116 are 2, 17029. Prime factorization of 68116 in exponential form is:

68116 = 2² × 17029¹

Step-3: Factors of 68098

List of positive integer factors of 68098 that divides 68098 without a remainder.

1, 2, 79, 158, 431, 862, 34049

Step-4: Factors of 68116

List of positive integer factors of 68116 that divides 68098 without a remainder.

1, 2, 4, 17029, 34058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68098 and 68116. The biggest common factor number is the GCF number.
So the greatest common factor 68098 and 68116 is 2.

Also check out the Least Common Multiple of 68098 and 68116