What is the Greatest Common Factor of 79800 and 79815?

Greatest common factor (GCF) of 79800 and 79815 is 15.

GCF(79800,79815) = 15

We will now calculate the prime factors of 79800 and 79815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79800 and 79815.

How to find the GCF of 79800 and 79815?

We will first find the prime factorization of 79800 and 79815. After we will calculate the factors of 79800 and 79815 and find the biggest common factor number .

Step-1: Prime Factorization of 79800

Prime factors of 79800 are 2, 3, 5, 7, 19. Prime factorization of 79800 in exponential form is:

79800 = 2³ × 3¹ × 5² × 7¹ × 19¹

Step-2: Prime Factorization of 79815

Prime factors of 79815 are 3, 5, 17, 313. Prime factorization of 79815 in exponential form is:

79815 = 3¹ × 5¹ × 17¹ × 313¹

Step-3: Factors of 79800

List of positive integer factors of 79800 that divides 79800 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 19, 20, 21, 24, 25, 28, 30, 35, 38, 40, 42, 50, 56, 57, 60, 70, 75, 76, 84, 95, 100, 105, 114, 120, 133, 140, 150, 152, 168, 175, 190, 200, 210, 228, 266, 280, 285, 300, 350, 380, 399, 420, 456, 475, 525, 532, 570, 600, 665, 700, 760, 798, 840, 950, 1050, 1064, 1140, 1330, 1400, 1425, 1596, 1900, 1995, 2100, 2280, 2660, 2850, 3192, 3325, 3800, 3990, 4200, 5320, 5700, 6650, 7980, 9975, 11400, 13300, 15960, 19950, 26600, 39900

Step-4: Factors of 79815

List of positive integer factors of 79815 that divides 79800 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 313, 939, 1565, 4695, 5321, 15963, 26605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79800 and 79815. The biggest common factor number is the GCF number.
So the greatest common factor 79800 and 79815 is 15.

Also check out the Least Common Multiple of 79800 and 79815