What is the Greatest Common Factor of 98690 and 98700?

Greatest common factor (GCF) of 98690 and 98700 is 10.

GCF(98690,98700) = 10

We will now calculate the prime factors of 98690 and 98700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98690 and 98700.

How to find the GCF of 98690 and 98700?

We will first find the prime factorization of 98690 and 98700. After we will calculate the factors of 98690 and 98700 and find the biggest common factor number .

Step-1: Prime Factorization of 98690

Prime factors of 98690 are 2, 5, 71, 139. Prime factorization of 98690 in exponential form is:

98690 = 2¹ × 5¹ × 71¹ × 139¹

Step-2: 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-3: Factors of 98690

List of positive integer factors of 98690 that divides 98690 without a remainder.

1, 2, 5, 10, 71, 139, 142, 278, 355, 695, 710, 1390, 9869, 19738, 49345

Step-4: Factors of 98700

List of positive integer factors of 98700 that divides 98690 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98690 and 98700. The biggest common factor number is the GCF number.
So the greatest common factor 98690 and 98700 is 10.

Also check out the Least Common Multiple of 98690 and 98700