What is the Greatest Common Factor of 98450 and 98464?

Greatest common factor (GCF) of 98450 and 98464 is 2.

GCF(98450,98464) = 2

We will now calculate the prime factors of 98450 and 98464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98450 and 98464.

How to find the GCF of 98450 and 98464?

We will first find the prime factorization of 98450 and 98464. After we will calculate the factors of 98450 and 98464 and find the biggest common factor number .

Step-1: Prime Factorization of 98450

Prime factors of 98450 are 2, 5, 11, 179. Prime factorization of 98450 in exponential form is:

98450 = 2¹ × 5² × 11¹ × 179¹

Step-2: Prime Factorization of 98464

Prime factors of 98464 are 2, 17, 181. Prime factorization of 98464 in exponential form is:

98464 = 2⁵ × 17¹ × 181¹

Step-3: Factors of 98450

List of positive integer factors of 98450 that divides 98450 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 179, 275, 358, 550, 895, 1790, 1969, 3938, 4475, 8950, 9845, 19690, 49225

Step-4: Factors of 98464

List of positive integer factors of 98464 that divides 98450 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 181, 272, 362, 544, 724, 1448, 2896, 3077, 5792, 6154, 12308, 24616, 49232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98450 and 98464. The biggest common factor number is the GCF number.
So the greatest common factor 98450 and 98464 is 2.

Also check out the Least Common Multiple of 98450 and 98464