What is the Greatest Common Factor of 98072 and 98081?

Greatest common factor (GCF) of 98072 and 98081 is 1.

GCF(98072,98081) = 1

We will now calculate the prime factors of 98072 and 98081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98072 and 98081.

How to find the GCF of 98072 and 98081?

We will first find the prime factorization of 98072 and 98081. After we will calculate the factors of 98072 and 98081 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 98081

Prime factors of 98081 are 98081. Prime factorization of 98081 in exponential form is:

98081 = 98081¹

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 98081

List of positive integer factors of 98081 that divides 98072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98072 and 98081. The biggest common factor number is the GCF number.
So the greatest common factor 98072 and 98081 is 1.

Also check out the Least Common Multiple of 98072 and 98081