What is the Greatest Common Factor of 98640 and 98650?

Greatest common factor (GCF) of 98640 and 98650 is 10.

GCF(98640,98650) = 10

We will now calculate the prime factors of 98640 and 98650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98640 and 98650.

How to find the GCF of 98640 and 98650?

We will first find the prime factorization of 98640 and 98650. After we will calculate the factors of 98640 and 98650 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 98650

Prime factors of 98650 are 2, 5, 1973. Prime factorization of 98650 in exponential form is:

98650 = 2¹ × 5² × 1973¹

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 98650

List of positive integer factors of 98650 that divides 98640 without a remainder.

1, 2, 5, 10, 25, 50, 1973, 3946, 9865, 19730, 49325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98640 and 98650. The biggest common factor number is the GCF number.
So the greatest common factor 98640 and 98650 is 10.

Also check out the Least Common Multiple of 98640 and 98650