What is the Greatest Common Factor of 98640 and 98649?

Greatest common factor (GCF) of 98640 and 98649 is 9.

GCF(98640,98649) = 9

We will now calculate the prime factors of 98640 and 98649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98640 and 98649.

How to find the GCF of 98640 and 98649?

We will first find the prime factorization of 98640 and 98649. After we will calculate the factors of 98640 and 98649 and find the biggest common factor number .

Step-1: Prime Factorization of 98640

Prime factors of 98640 are 2, 3, 5, 137. Prime factorization of 98640 in exponential form is:

98640 = 2⁴ × 3² × 5¹ × 137¹

Step-2: Prime Factorization of 98649

Prime factors of 98649 are 3, 97, 113. Prime factorization of 98649 in exponential form is:

98649 = 3² × 97¹ × 113¹

Step-3: Factors of 98640

List of positive integer factors of 98640 that divides 98640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 137, 144, 180, 240, 274, 360, 411, 548, 685, 720, 822, 1096, 1233, 1370, 1644, 2055, 2192, 2466, 2740, 3288, 4110, 4932, 5480, 6165, 6576, 8220, 9864, 10960, 12330, 16440, 19728, 24660, 32880, 49320

Step-4: Factors of 98649

List of positive integer factors of 98649 that divides 98640 without a remainder.

1, 3, 9, 97, 113, 291, 339, 873, 1017, 10961, 32883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98640 and 98649. The biggest common factor number is the GCF number.
So the greatest common factor 98640 and 98649 is 9.

Also check out the Least Common Multiple of 98640 and 98649