What is the Greatest Common Factor of 93072 and 93078?

Greatest common factor (GCF) of 93072 and 93078 is 6.

GCF(93072,93078) = 6

We will now calculate the prime factors of 93072 and 93078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93072 and 93078.

How to find the GCF of 93072 and 93078?

We will first find the prime factorization of 93072 and 93078. After we will calculate the factors of 93072 and 93078 and find the biggest common factor number .

Step-1: Prime Factorization of 93072

Prime factors of 93072 are 2, 3, 7, 277. Prime factorization of 93072 in exponential form is:

93072 = 2⁴ × 3¹ × 7¹ × 277¹

Step-2: Prime Factorization of 93078

Prime factors of 93078 are 2, 3, 5171. Prime factorization of 93078 in exponential form is:

93078 = 2¹ × 3² × 5171¹

Step-3: Factors of 93072

List of positive integer factors of 93072 that divides 93072 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 277, 336, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 4432, 5817, 6648, 7756, 11634, 13296, 15512, 23268, 31024, 46536

Step-4: Factors of 93078

List of positive integer factors of 93078 that divides 93072 without a remainder.

1, 2, 3, 6, 9, 18, 5171, 10342, 15513, 31026, 46539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93072 and 93078. The biggest common factor number is the GCF number.
So the greatest common factor 93072 and 93078 is 6.

Also check out the Least Common Multiple of 93072 and 93078