What is the Greatest Common Factor of 96900 and 96919?

Greatest common factor (GCF) of 96900 and 96919 is 19.

GCF(96900,96919) = 19

We will now calculate the prime factors of 96900 and 96919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96900 and 96919.

How to find the GCF of 96900 and 96919?

We will first find the prime factorization of 96900 and 96919. After we will calculate the factors of 96900 and 96919 and find the biggest common factor number .

Step-1: Prime Factorization of 96900

Prime factors of 96900 are 2, 3, 5, 17, 19. Prime factorization of 96900 in exponential form is:

96900 = 2² × 3¹ × 5² × 17¹ × 19¹

Step-2: Prime Factorization of 96919

Prime factors of 96919 are 19, 5101. Prime factorization of 96919 in exponential form is:

96919 = 19¹ × 5101¹

Step-3: Factors of 96900

List of positive integer factors of 96900 that divides 96900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 19, 20, 25, 30, 34, 38, 50, 51, 57, 60, 68, 75, 76, 85, 95, 100, 102, 114, 150, 170, 190, 204, 228, 255, 285, 300, 323, 340, 380, 425, 475, 510, 570, 646, 850, 950, 969, 1020, 1140, 1275, 1292, 1425, 1615, 1700, 1900, 1938, 2550, 2850, 3230, 3876, 4845, 5100, 5700, 6460, 8075, 9690, 16150, 19380, 24225, 32300, 48450

Step-4: Factors of 96919

List of positive integer factors of 96919 that divides 96900 without a remainder.

1, 19, 5101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96900 and 96919. The biggest common factor number is the GCF number.
So the greatest common factor 96900 and 96919 is 19.

Also check out the Least Common Multiple of 96900 and 96919