What is the Greatest Common Factor of 98460 and 98472?

Greatest common factor (GCF) of 98460 and 98472 is 12.

GCF(98460,98472) = 12

We will now calculate the prime factors of 98460 and 98472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98460 and 98472.

How to find the GCF of 98460 and 98472?

We will first find the prime factorization of 98460 and 98472. After we will calculate the factors of 98460 and 98472 and find the biggest common factor number .

Step-1: Prime Factorization of 98460

Prime factors of 98460 are 2, 3, 5, 547. Prime factorization of 98460 in exponential form is:

98460 = 2² × 3² × 5¹ × 547¹

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 98460

List of positive integer factors of 98460 that divides 98460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 547, 1094, 1641, 2188, 2735, 3282, 4923, 5470, 6564, 8205, 9846, 10940, 16410, 19692, 24615, 32820, 49230

Step-4: Factors of 98472

List of positive integer factors of 98472 that divides 98460 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 98460 and 98472. The biggest common factor number is the GCF number.
So the greatest common factor 98460 and 98472 is 12.

Also check out the Least Common Multiple of 98460 and 98472