What is the Greatest Common Factor of 93084 and 93102?

Greatest common factor (GCF) of 93084 and 93102 is 6.

GCF(93084,93102) = 6

We will now calculate the prime factors of 93084 and 93102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93084 and 93102.

How to find the GCF of 93084 and 93102?

We will first find the prime factorization of 93084 and 93102. After we will calculate the factors of 93084 and 93102 and find the biggest common factor number .

Step-1: Prime Factorization of 93084

Prime factors of 93084 are 2, 3, 7757. Prime factorization of 93084 in exponential form is:

93084 = 2² × 3¹ × 7757¹

Step-2: Prime Factorization of 93102

Prime factors of 93102 are 2, 3, 59, 263. Prime factorization of 93102 in exponential form is:

93102 = 2¹ × 3¹ × 59¹ × 263¹

Step-3: Factors of 93084

List of positive integer factors of 93084 that divides 93084 without a remainder.

1, 2, 3, 4, 6, 12, 7757, 15514, 23271, 31028, 46542

Step-4: Factors of 93102

List of positive integer factors of 93102 that divides 93084 without a remainder.

1, 2, 3, 6, 59, 118, 177, 263, 354, 526, 789, 1578, 15517, 31034, 46551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93084 and 93102. The biggest common factor number is the GCF number.
So the greatest common factor 93084 and 93102 is 6.

Also check out the Least Common Multiple of 93084 and 93102