What is the Greatest Common Factor of 99750 and 99768?

Greatest common factor (GCF) of 99750 and 99768 is 6.

GCF(99750,99768) = 6

We will now calculate the prime factors of 99750 and 99768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99750 and 99768.

How to find the GCF of 99750 and 99768?

We will first find the prime factorization of 99750 and 99768. After we will calculate the factors of 99750 and 99768 and find the biggest common factor number .

Step-1: Prime Factorization of 99750

Prime factors of 99750 are 2, 3, 5, 7, 19. Prime factorization of 99750 in exponential form is:

99750 = 2¹ × 3¹ × 5³ × 7¹ × 19¹

Step-2: Prime Factorization of 99768

Prime factors of 99768 are 2, 3, 4157. Prime factorization of 99768 in exponential form is:

99768 = 2³ × 3¹ × 4157¹

Step-3: Factors of 99750

List of positive integer factors of 99750 that divides 99750 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 25, 30, 35, 38, 42, 50, 57, 70, 75, 95, 105, 114, 125, 133, 150, 175, 190, 210, 250, 266, 285, 350, 375, 399, 475, 525, 570, 665, 750, 798, 875, 950, 1050, 1330, 1425, 1750, 1995, 2375, 2625, 2850, 3325, 3990, 4750, 5250, 6650, 7125, 9975, 14250, 16625, 19950, 33250, 49875

Step-4: Factors of 99768

List of positive integer factors of 99768 that divides 99750 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4157, 8314, 12471, 16628, 24942, 33256, 49884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99750 and 99768. The biggest common factor number is the GCF number.
So the greatest common factor 99750 and 99768 is 6.

Also check out the Least Common Multiple of 99750 and 99768