What is the Greatest Common Factor of 98600 and 98620?

Greatest common factor (GCF) of 98600 and 98620 is 20.

GCF(98600,98620) = 20

We will now calculate the prime factors of 98600 and 98620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98600 and 98620.

How to find the GCF of 98600 and 98620?

We will first find the prime factorization of 98600 and 98620. After we will calculate the factors of 98600 and 98620 and find the biggest common factor number .

Step-1: Prime Factorization of 98600

Prime factors of 98600 are 2, 5, 17, 29. Prime factorization of 98600 in exponential form is:

98600 = 2³ × 5² × 17¹ × 29¹

Step-2: Prime Factorization of 98620

Prime factors of 98620 are 2, 5, 4931. Prime factorization of 98620 in exponential form is:

98620 = 2² × 5¹ × 4931¹

Step-3: Factors of 98600

List of positive integer factors of 98600 that divides 98600 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 29, 34, 40, 50, 58, 68, 85, 100, 116, 136, 145, 170, 200, 232, 290, 340, 425, 493, 580, 680, 725, 850, 986, 1160, 1450, 1700, 1972, 2465, 2900, 3400, 3944, 4930, 5800, 9860, 12325, 19720, 24650, 49300

Step-4: Factors of 98620

List of positive integer factors of 98620 that divides 98600 without a remainder.

1, 2, 4, 5, 10, 20, 4931, 9862, 19724, 24655, 49310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98600 and 98620. The biggest common factor number is the GCF number.
So the greatest common factor 98600 and 98620 is 20.

Also check out the Least Common Multiple of 98600 and 98620