What is the Greatest Common Factor of 99734 and 99750?

Greatest common factor (GCF) of 99734 and 99750 is 2.

GCF(99734,99750) = 2

We will now calculate the prime factors of 99734 and 99750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99734 and 99750.

How to find the GCF of 99734 and 99750?

We will first find the prime factorization of 99734 and 99750. After we will calculate the factors of 99734 and 99750 and find the biggest common factor number .

Step-1: Prime Factorization of 99734

Prime factors of 99734 are 2, 47, 1061. Prime factorization of 99734 in exponential form is:

99734 = 2¹ × 47¹ × 1061¹

Step-2: 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-3: Factors of 99734

List of positive integer factors of 99734 that divides 99734 without a remainder.

1, 2, 47, 94, 1061, 2122, 49867

Step-4: Factors of 99750

List of positive integer factors of 99750 that divides 99734 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99734 and 99750. The biggest common factor number is the GCF number.
So the greatest common factor 99734 and 99750 is 2.

Also check out the Least Common Multiple of 99734 and 99750