What is the Greatest Common Factor of 79780 and 79794?

Greatest common factor (GCF) of 79780 and 79794 is 2.

GCF(79780,79794) = 2

We will now calculate the prime factors of 79780 and 79794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79780 and 79794.

How to find the GCF of 79780 and 79794?

We will first find the prime factorization of 79780 and 79794. After we will calculate the factors of 79780 and 79794 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 79794

Prime factors of 79794 are 2, 3, 11, 13, 31. Prime factorization of 79794 in exponential form is:

79794 = 2¹ × 3² × 11¹ × 13¹ × 31¹

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 79794

List of positive integer factors of 79794 that divides 79780 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 31, 33, 39, 62, 66, 78, 93, 99, 117, 143, 186, 198, 234, 279, 286, 341, 403, 429, 558, 682, 806, 858, 1023, 1209, 1287, 2046, 2418, 2574, 3069, 3627, 4433, 6138, 7254, 8866, 13299, 26598, 39897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79780 and 79794. The biggest common factor number is the GCF number.
So the greatest common factor 79780 and 79794 is 2.

Also check out the Least Common Multiple of 79780 and 79794