What is the Greatest Common Factor of 78987 and 79002?

Greatest common factor (GCF) of 78987 and 79002 is 3.

GCF(78987,79002) = 3

We will now calculate the prime factors of 78987 and 79002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78987 and 79002.

How to find the GCF of 78987 and 79002?

We will first find the prime factorization of 78987 and 79002. After we will calculate the factors of 78987 and 79002 and find the biggest common factor number .

Step-1: Prime Factorization of 78987

Prime factors of 78987 are 3, 113, 233. Prime factorization of 78987 in exponential form is:

78987 = 3¹ × 113¹ × 233¹

Step-2: 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-3: Factors of 78987

List of positive integer factors of 78987 that divides 78987 without a remainder.

1, 3, 113, 233, 339, 699, 26329

Step-4: Factors of 79002

List of positive integer factors of 79002 that divides 78987 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78987 and 79002. The biggest common factor number is the GCF number.
So the greatest common factor 78987 and 79002 is 3.

Also check out the Least Common Multiple of 78987 and 79002