What is the Greatest Common Factor of 98070 and 98090?

Greatest common factor (GCF) of 98070 and 98090 is 10.

GCF(98070,98090) = 10

We will now calculate the prime factors of 98070 and 98090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98070 and 98090.

How to find the GCF of 98070 and 98090?

We will first find the prime factorization of 98070 and 98090. After we will calculate the factors of 98070 and 98090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98090

Prime factors of 98090 are 2, 5, 17, 577. Prime factorization of 98090 in exponential form is:

98090 = 2¹ × 5¹ × 17¹ × 577¹

Step-3: Factors of 98070

List of positive integer factors of 98070 that divides 98070 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

Step-4: Factors of 98090

List of positive integer factors of 98090 that divides 98070 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 577, 1154, 2885, 5770, 9809, 19618, 49045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98070 and 98090. The biggest common factor number is the GCF number.
So the greatest common factor 98070 and 98090 is 10.

Also check out the Least Common Multiple of 98070 and 98090