What is the Greatest Common Factor of 98850 and 98868?

Greatest common factor (GCF) of 98850 and 98868 is 6.

GCF(98850,98868) = 6

We will now calculate the prime factors of 98850 and 98868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98850 and 98868.

How to find the GCF of 98850 and 98868?

We will first find the prime factorization of 98850 and 98868. After we will calculate the factors of 98850 and 98868 and find the biggest common factor number .

Step-1: Prime Factorization of 98850

Prime factors of 98850 are 2, 3, 5, 659. Prime factorization of 98850 in exponential form is:

98850 = 2¹ × 3¹ × 5² × 659¹

Step-2: Prime Factorization of 98868

Prime factors of 98868 are 2, 3, 7, 11, 107. Prime factorization of 98868 in exponential form is:

98868 = 2² × 3¹ × 7¹ × 11¹ × 107¹

Step-3: Factors of 98850

List of positive integer factors of 98850 that divides 98850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 659, 1318, 1977, 3295, 3954, 6590, 9885, 16475, 19770, 32950, 49425

Step-4: Factors of 98868

List of positive integer factors of 98868 that divides 98850 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 107, 132, 154, 214, 231, 308, 321, 428, 462, 642, 749, 924, 1177, 1284, 1498, 2247, 2354, 2996, 3531, 4494, 4708, 7062, 8239, 8988, 14124, 16478, 24717, 32956, 49434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98850 and 98868. The biggest common factor number is the GCF number.
So the greatest common factor 98850 and 98868 is 6.

Also check out the Least Common Multiple of 98850 and 98868