What is the Greatest Common Factor of 95700 and 95709?

Greatest common factor (GCF) of 95700 and 95709 is 3.

GCF(95700,95709) = 3

We will now calculate the prime factors of 95700 and 95709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95700 and 95709.

How to find the GCF of 95700 and 95709?

We will first find the prime factorization of 95700 and 95709. After we will calculate the factors of 95700 and 95709 and find the biggest common factor number .

Step-1: Prime Factorization of 95700

Prime factors of 95700 are 2, 3, 5, 11, 29. Prime factorization of 95700 in exponential form is:

95700 = 2² × 3¹ × 5² × 11¹ × 29¹

Step-2: Prime Factorization of 95709

Prime factors of 95709 are 3, 61, 523. Prime factorization of 95709 in exponential form is:

95709 = 3¹ × 61¹ × 523¹

Step-3: Factors of 95700

List of positive integer factors of 95700 that divides 95700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 29, 30, 33, 44, 50, 55, 58, 60, 66, 75, 87, 100, 110, 116, 132, 145, 150, 165, 174, 220, 275, 290, 300, 319, 330, 348, 435, 550, 580, 638, 660, 725, 825, 870, 957, 1100, 1276, 1450, 1595, 1650, 1740, 1914, 2175, 2900, 3190, 3300, 3828, 4350, 4785, 6380, 7975, 8700, 9570, 15950, 19140, 23925, 31900, 47850

Step-4: Factors of 95709

List of positive integer factors of 95709 that divides 95700 without a remainder.

1, 3, 61, 183, 523, 1569, 31903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95700 and 95709. The biggest common factor number is the GCF number.
So the greatest common factor 95700 and 95709 is 3.

Also check out the Least Common Multiple of 95700 and 95709