What is the Greatest Common Factor of 98054 and 98072?

Greatest common factor (GCF) of 98054 and 98072 is 2.

GCF(98054,98072) = 2

We will now calculate the prime factors of 98054 and 98072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98054 and 98072.

How to find the GCF of 98054 and 98072?

We will first find the prime factorization of 98054 and 98072. After we will calculate the factors of 98054 and 98072 and find the biggest common factor number .

Step-1: Prime Factorization of 98054

Prime factors of 98054 are 2, 11, 4457. Prime factorization of 98054 in exponential form is:

98054 = 2¹ × 11¹ × 4457¹

Step-2: 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-3: Factors of 98054

List of positive integer factors of 98054 that divides 98054 without a remainder.

1, 2, 11, 22, 4457, 8914, 49027

Step-4: Factors of 98072

List of positive integer factors of 98072 that divides 98054 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98054 and 98072. The biggest common factor number is the GCF number.
So the greatest common factor 98054 and 98072 is 2.

Also check out the Least Common Multiple of 98054 and 98072