What is the Greatest Common Factor of 98130 and 98140?

Greatest common factor (GCF) of 98130 and 98140 is 10.

GCF(98130,98140) = 10

We will now calculate the prime factors of 98130 and 98140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98130 and 98140.

How to find the GCF of 98130 and 98140?

We will first find the prime factorization of 98130 and 98140. After we will calculate the factors of 98130 and 98140 and find the biggest common factor number .

Step-1: Prime Factorization of 98130

Prime factors of 98130 are 2, 3, 5, 3271. Prime factorization of 98130 in exponential form is:

98130 = 2¹ × 3¹ × 5¹ × 3271¹

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 98130

List of positive integer factors of 98130 that divides 98130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3271, 6542, 9813, 16355, 19626, 32710, 49065

Step-4: Factors of 98140

List of positive integer factors of 98140 that divides 98130 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 98130 and 98140. The biggest common factor number is the GCF number.
So the greatest common factor 98130 and 98140 is 10.

Also check out the Least Common Multiple of 98130 and 98140