What is the Greatest Common Factor of 98134 and 98140?

Greatest common factor (GCF) of 98134 and 98140 is 2.

GCF(98134,98140) = 2

We will now calculate the prime factors of 98134 and 98140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98134 and 98140.

How to find the GCF of 98134 and 98140?

We will first find the prime factorization of 98134 and 98140. After we will calculate the factors of 98134 and 98140 and find the biggest common factor number .

Step-1: Prime Factorization of 98134

Prime factors of 98134 are 2, 139, 353. Prime factorization of 98134 in exponential form is:

98134 = 2¹ × 139¹ × 353¹

Step-2: Prime Factorization of 98140

Prime factors of 98140 are 2, 5, 7, 701. Prime factorization of 98140 in exponential form is:

98140 = 2² × 5¹ × 7¹ × 701¹

Step-3: Factors of 98134

List of positive integer factors of 98134 that divides 98134 without a remainder.

1, 2, 139, 278, 353, 706, 49067

Step-4: Factors of 98140

List of positive integer factors of 98140 that divides 98134 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 701, 1402, 2804, 3505, 4907, 7010, 9814, 14020, 19628, 24535, 49070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98134 and 98140. The biggest common factor number is the GCF number.
So the greatest common factor 98134 and 98140 is 2.

Also check out the Least Common Multiple of 98134 and 98140