What is the Greatest Common Factor of 68082 and 68098?

Greatest common factor (GCF) of 68082 and 68098 is 2.

GCF(68082,68098) = 2

We will now calculate the prime factors of 68082 and 68098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68082 and 68098.

How to find the GCF of 68082 and 68098?

We will first find the prime factorization of 68082 and 68098. After we will calculate the factors of 68082 and 68098 and find the biggest common factor number .

Step-1: Prime Factorization of 68082

Prime factors of 68082 are 2, 3, 7, 1621. Prime factorization of 68082 in exponential form is:

68082 = 2¹ × 3¹ × 7¹ × 1621¹

Step-2: 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-3: Factors of 68082

List of positive integer factors of 68082 that divides 68082 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1621, 3242, 4863, 9726, 11347, 22694, 34041

Step-4: Factors of 68098

List of positive integer factors of 68098 that divides 68082 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68082 and 68098. The biggest common factor number is the GCF number.
So the greatest common factor 68082 and 68098 is 2.

Also check out the Least Common Multiple of 68082 and 68098