What is the Greatest Common Factor of 98464 and 98472?

Greatest common factor (GCF) of 98464 and 98472 is 8.

GCF(98464,98472) = 8

We will now calculate the prime factors of 98464 and 98472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98464 and 98472.

How to find the GCF of 98464 and 98472?

We will first find the prime factorization of 98464 and 98472. After we will calculate the factors of 98464 and 98472 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98472

Prime factors of 98472 are 2, 3, 11, 373. Prime factorization of 98472 in exponential form is:

98472 = 2³ × 3¹ × 11¹ × 373¹

Step-3: Factors of 98464

List of positive integer factors of 98464 that divides 98464 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

Step-4: Factors of 98472

List of positive integer factors of 98472 that divides 98464 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 373, 746, 1119, 1492, 2238, 2984, 4103, 4476, 8206, 8952, 12309, 16412, 24618, 32824, 49236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98464 and 98472. The biggest common factor number is the GCF number.
So the greatest common factor 98464 and 98472 is 8.

Also check out the Least Common Multiple of 98464 and 98472