What is the Greatest Common Factor of 79002 and 79011?

Greatest common factor (GCF) of 79002 and 79011 is 9.

GCF(79002,79011) = 9

We will now calculate the prime factors of 79002 and 79011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79002 and 79011.

How to find the GCF of 79002 and 79011?

We will first find the prime factorization of 79002 and 79011. After we will calculate the factors of 79002 and 79011 and find the biggest common factor number .

Step-1: Prime Factorization of 79002

Prime factors of 79002 are 2, 3, 7, 11, 19. Prime factorization of 79002 in exponential form is:

79002 = 2¹ × 3³ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 79011

Prime factors of 79011 are 3, 8779. Prime factorization of 79011 in exponential form is:

79011 = 3² × 8779¹

Step-3: Factors of 79002

List of positive integer factors of 79002 that divides 79002 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 19, 21, 22, 27, 33, 38, 42, 54, 57, 63, 66, 77, 99, 114, 126, 133, 154, 171, 189, 198, 209, 231, 266, 297, 342, 378, 399, 418, 462, 513, 594, 627, 693, 798, 1026, 1197, 1254, 1386, 1463, 1881, 2079, 2394, 2926, 3591, 3762, 4158, 4389, 5643, 7182, 8778, 11286, 13167, 26334, 39501

Step-4: Factors of 79011

List of positive integer factors of 79011 that divides 79002 without a remainder.

1, 3, 9, 8779, 26337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79002 and 79011. The biggest common factor number is the GCF number.
So the greatest common factor 79002 and 79011 is 9.

Also check out the Least Common Multiple of 79002 and 79011