What is the Greatest Common Factor of 79002 and 79008?

Greatest common factor (GCF) of 79002 and 79008 is 6.

GCF(79002,79008) = 6

We will now calculate the prime factors of 79002 and 79008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79002 and 79008.

How to find the GCF of 79002 and 79008?

We will first find the prime factorization of 79002 and 79008. After we will calculate the factors of 79002 and 79008 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 79008

Prime factors of 79008 are 2, 3, 823. Prime factorization of 79008 in exponential form is:

79008 = 2⁵ × 3¹ × 823¹

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 79008

List of positive integer factors of 79008 that divides 79002 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 823, 1646, 2469, 3292, 4938, 6584, 9876, 13168, 19752, 26336, 39504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79002 and 79008. The biggest common factor number is the GCF number.
So the greatest common factor 79002 and 79008 is 6.

Also check out the Least Common Multiple of 79002 and 79008