What is the Greatest Common Factor of 80098 and 80102?

Greatest common factor (GCF) of 80098 and 80102 is 2.

GCF(80098,80102) = 2

We will now calculate the prime factors of 80098 and 80102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80098 and 80102.

How to find the GCF of 80098 and 80102?

We will first find the prime factorization of 80098 and 80102. After we will calculate the factors of 80098 and 80102 and find the biggest common factor number .

Step-1: Prime Factorization of 80098

Prime factors of 80098 are 2, 29, 1381. Prime factorization of 80098 in exponential form is:

80098 = 2¹ × 29¹ × 1381¹

Step-2: Prime Factorization of 80102

Prime factors of 80102 are 2, 11, 331. Prime factorization of 80102 in exponential form is:

80102 = 2¹ × 11² × 331¹

Step-3: Factors of 80098

List of positive integer factors of 80098 that divides 80098 without a remainder.

1, 2, 29, 58, 1381, 2762, 40049

Step-4: Factors of 80102

List of positive integer factors of 80102 that divides 80098 without a remainder.

1, 2, 11, 22, 121, 242, 331, 662, 3641, 7282, 40051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80098 and 80102. The biggest common factor number is the GCF number.
So the greatest common factor 80098 and 80102 is 2.

Also check out the Least Common Multiple of 80098 and 80102