What is the Greatest Common Factor of 98060 and 98070?

Greatest common factor (GCF) of 98060 and 98070 is 10.

GCF(98060,98070) = 10

We will now calculate the prime factors of 98060 and 98070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98060 and 98070.

How to find the GCF of 98060 and 98070?

We will first find the prime factorization of 98060 and 98070. After we will calculate the factors of 98060 and 98070 and find the biggest common factor number .

Step-1: Prime Factorization of 98060

Prime factors of 98060 are 2, 5, 4903. Prime factorization of 98060 in exponential form is:

98060 = 2² × 5¹ × 4903¹

Step-2: Prime Factorization of 98070

Prime factors of 98070 are 2, 3, 5, 7, 467. Prime factorization of 98070 in exponential form is:

98070 = 2¹ × 3¹ × 5¹ × 7¹ × 467¹

Step-3: Factors of 98060

List of positive integer factors of 98060 that divides 98060 without a remainder.

1, 2, 4, 5, 10, 20, 4903, 9806, 19612, 24515, 49030

Step-4: Factors of 98070

List of positive integer factors of 98070 that divides 98060 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 467, 934, 1401, 2335, 2802, 3269, 4670, 6538, 7005, 9807, 14010, 16345, 19614, 32690, 49035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98060 and 98070. The biggest common factor number is the GCF number.
So the greatest common factor 98060 and 98070 is 10.

Also check out the Least Common Multiple of 98060 and 98070