What is the Greatest Common Factor of 93002 and 93008?

Greatest common factor (GCF) of 93002 and 93008 is 2.

GCF(93002,93008) = 2

We will now calculate the prime factors of 93002 and 93008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93002 and 93008.

How to find the GCF of 93002 and 93008?

We will first find the prime factorization of 93002 and 93008. After we will calculate the factors of 93002 and 93008 and find the biggest common factor number .

Step-1: Prime Factorization of 93002

Prime factors of 93002 are 2, 7, 13, 73. Prime factorization of 93002 in exponential form is:

93002 = 2¹ × 7² × 13¹ × 73¹

Step-2: Prime Factorization of 93008

Prime factors of 93008 are 2, 5813. Prime factorization of 93008 in exponential form is:

93008 = 2⁴ × 5813¹

Step-3: Factors of 93002

List of positive integer factors of 93002 that divides 93002 without a remainder.

1, 2, 7, 13, 14, 26, 49, 73, 91, 98, 146, 182, 511, 637, 949, 1022, 1274, 1898, 3577, 6643, 7154, 13286, 46501

Step-4: Factors of 93008

List of positive integer factors of 93008 that divides 93002 without a remainder.

1, 2, 4, 8, 16, 5813, 11626, 23252, 46504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93002 and 93008. The biggest common factor number is the GCF number.
So the greatest common factor 93002 and 93008 is 2.

Also check out the Least Common Multiple of 93002 and 93008