What is the Greatest Common Factor of 98700 and 98720?

Greatest common factor (GCF) of 98700 and 98720 is 20.

GCF(98700,98720) = 20

We will now calculate the prime factors of 98700 and 98720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98700 and 98720.

How to find the GCF of 98700 and 98720?

We will first find the prime factorization of 98700 and 98720. After we will calculate the factors of 98700 and 98720 and find the biggest common factor number .

Step-1: Prime Factorization of 98700

Prime factors of 98700 are 2, 3, 5, 7, 47. Prime factorization of 98700 in exponential form is:

98700 = 2² × 3¹ × 5² × 7¹ × 47¹

Step-2: Prime Factorization of 98720

Prime factors of 98720 are 2, 5, 617. Prime factorization of 98720 in exponential form is:

98720 = 2⁵ × 5¹ × 617¹

Step-3: Factors of 98700

List of positive integer factors of 98700 that divides 98700 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 47, 50, 60, 70, 75, 84, 94, 100, 105, 140, 141, 150, 175, 188, 210, 235, 282, 300, 329, 350, 420, 470, 525, 564, 658, 700, 705, 940, 987, 1050, 1175, 1316, 1410, 1645, 1974, 2100, 2350, 2820, 3290, 3525, 3948, 4700, 4935, 6580, 7050, 8225, 9870, 14100, 16450, 19740, 24675, 32900, 49350

Step-4: Factors of 98720

List of positive integer factors of 98720 that divides 98700 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 617, 1234, 2468, 3085, 4936, 6170, 9872, 12340, 19744, 24680, 49360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98700 and 98720. The biggest common factor number is the GCF number.
So the greatest common factor 98700 and 98720 is 20.

Also check out the Least Common Multiple of 98700 and 98720