What is the Greatest Common Factor of 98120 and 98140?

Greatest common factor (GCF) of 98120 and 98140 is 20.

GCF(98120,98140) = 20

We will now calculate the prime factors of 98120 and 98140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98120 and 98140.

How to find the GCF of 98120 and 98140?

We will first find the prime factorization of 98120 and 98140. After we will calculate the factors of 98120 and 98140 and find the biggest common factor number .

Step-1: Prime Factorization of 98120

Prime factors of 98120 are 2, 5, 11, 223. Prime factorization of 98120 in exponential form is:

98120 = 2³ × 5¹ × 11¹ × 223¹

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 98120

List of positive integer factors of 98120 that divides 98120 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 223, 440, 446, 892, 1115, 1784, 2230, 2453, 4460, 4906, 8920, 9812, 12265, 19624, 24530, 49060

Step-4: Factors of 98140

List of positive integer factors of 98140 that divides 98120 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 98120 and 98140. The biggest common factor number is the GCF number.
So the greatest common factor 98120 and 98140 is 20.

Also check out the Least Common Multiple of 98120 and 98140