What is the Greatest Common Factor of 98128 and 98142?

Greatest common factor (GCF) of 98128 and 98142 is 2.

GCF(98128,98142) = 2

We will now calculate the prime factors of 98128 and 98142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98128 and 98142.

How to find the GCF of 98128 and 98142?

We will first find the prime factorization of 98128 and 98142. After we will calculate the factors of 98128 and 98142 and find the biggest common factor number .

Step-1: Prime Factorization of 98128

Prime factors of 98128 are 2, 6133. Prime factorization of 98128 in exponential form is:

98128 = 2⁴ × 6133¹

Step-2: Prime Factorization of 98142

Prime factors of 98142 are 2, 3, 11, 1487. Prime factorization of 98142 in exponential form is:

98142 = 2¹ × 3¹ × 11¹ × 1487¹

Step-3: Factors of 98128

List of positive integer factors of 98128 that divides 98128 without a remainder.

1, 2, 4, 8, 16, 6133, 12266, 24532, 49064

Step-4: Factors of 98142

List of positive integer factors of 98142 that divides 98128 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1487, 2974, 4461, 8922, 16357, 32714, 49071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98128 and 98142. The biggest common factor number is the GCF number.
So the greatest common factor 98128 and 98142 is 2.

Also check out the Least Common Multiple of 98128 and 98142