What is the Greatest Common Factor of 79780 and 79800?

Greatest common factor (GCF) of 79780 and 79800 is 20.

GCF(79780,79800) = 20

We will now calculate the prime factors of 79780 and 79800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79780 and 79800.

How to find the GCF of 79780 and 79800?

We will first find the prime factorization of 79780 and 79800. After we will calculate the factors of 79780 and 79800 and find the biggest common factor number .

Step-1: Prime Factorization of 79780

Prime factors of 79780 are 2, 5, 3989. Prime factorization of 79780 in exponential form is:

79780 = 2² × 5¹ × 3989¹

Step-2: 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-3: Factors of 79780

List of positive integer factors of 79780 that divides 79780 without a remainder.

1, 2, 4, 5, 10, 20, 3989, 7978, 15956, 19945, 39890

Step-4: Factors of 79800

List of positive integer factors of 79800 that divides 79780 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79780 and 79800. The biggest common factor number is the GCF number.
So the greatest common factor 79780 and 79800 is 20.

Also check out the Least Common Multiple of 79780 and 79800