What is the Greatest Common Factor of 98472 and 98478?

Greatest common factor (GCF) of 98472 and 98478 is 6.

GCF(98472,98478) = 6

We will now calculate the prime factors of 98472 and 98478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98472 and 98478.

How to find the GCF of 98472 and 98478?

We will first find the prime factorization of 98472 and 98478. After we will calculate the factors of 98472 and 98478 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98478

Prime factors of 98478 are 2, 3, 5471. Prime factorization of 98478 in exponential form is:

98478 = 2¹ × 3² × 5471¹

Step-3: Factors of 98472

List of positive integer factors of 98472 that divides 98472 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

Step-4: Factors of 98478

List of positive integer factors of 98478 that divides 98472 without a remainder.

1, 2, 3, 6, 9, 18, 5471, 10942, 16413, 32826, 49239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98472 and 98478. The biggest common factor number is the GCF number.
So the greatest common factor 98472 and 98478 is 6.

Also check out the Least Common Multiple of 98472 and 98478