What is the Greatest Common Factor of 98072 and 98085?

Greatest common factor (GCF) of 98072 and 98085 is 13.

GCF(98072,98085) = 13

We will now calculate the prime factors of 98072 and 98085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98072 and 98085.

How to find the GCF of 98072 and 98085?

We will first find the prime factorization of 98072 and 98085. After we will calculate the factors of 98072 and 98085 and find the biggest common factor number .

Step-1: Prime Factorization of 98072

Prime factors of 98072 are 2, 13, 23, 41. Prime factorization of 98072 in exponential form is:

98072 = 2³ × 13¹ × 23¹ × 41¹

Step-2: Prime Factorization of 98085

Prime factors of 98085 are 3, 5, 13, 503. Prime factorization of 98085 in exponential form is:

98085 = 3¹ × 5¹ × 13¹ × 503¹

Step-3: Factors of 98072

List of positive integer factors of 98072 that divides 98072 without a remainder.

1, 2, 4, 8, 13, 23, 26, 41, 46, 52, 82, 92, 104, 164, 184, 299, 328, 533, 598, 943, 1066, 1196, 1886, 2132, 2392, 3772, 4264, 7544, 12259, 24518, 49036

Step-4: Factors of 98085

List of positive integer factors of 98085 that divides 98072 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 503, 1509, 2515, 6539, 7545, 19617, 32695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98072 and 98085. The biggest common factor number is the GCF number.
So the greatest common factor 98072 and 98085 is 13.

Also check out the Least Common Multiple of 98072 and 98085