What is the Greatest Common Factor of 80088 and 80098?

Greatest common factor (GCF) of 80088 and 80098 is 2.

GCF(80088,80098) = 2

We will now calculate the prime factors of 80088 and 80098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80088 and 80098.

How to find the GCF of 80088 and 80098?

We will first find the prime factorization of 80088 and 80098. After we will calculate the factors of 80088 and 80098 and find the biggest common factor number .

Step-1: Prime Factorization of 80088

Prime factors of 80088 are 2, 3, 47, 71. Prime factorization of 80088 in exponential form is:

80088 = 2³ × 3¹ × 47¹ × 71¹

Step-2: 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-3: Factors of 80088

List of positive integer factors of 80088 that divides 80088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 71, 94, 141, 142, 188, 213, 282, 284, 376, 426, 564, 568, 852, 1128, 1704, 3337, 6674, 10011, 13348, 20022, 26696, 40044

Step-4: Factors of 80098

List of positive integer factors of 80098 that divides 80088 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80088 and 80098. The biggest common factor number is the GCF number.
So the greatest common factor 80088 and 80098 is 2.

Also check out the Least Common Multiple of 80088 and 80098