What is the Greatest Common Factor of 93072 and 93085?

Greatest common factor (GCF) of 93072 and 93085 is 1.

GCF(93072,93085) = 1

We will now calculate the prime factors of 93072 and 93085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93072 and 93085.

How to find the GCF of 93072 and 93085?

We will first find the prime factorization of 93072 and 93085. After we will calculate the factors of 93072 and 93085 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 93085

Prime factors of 93085 are 5, 18617. Prime factorization of 93085 in exponential form is:

93085 = 5¹ × 18617¹

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 93085

List of positive integer factors of 93085 that divides 93072 without a remainder.

1, 5, 18617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93072 and 93085. The biggest common factor number is the GCF number.
So the greatest common factor 93072 and 93085 is 1.

Also check out the Least Common Multiple of 93072 and 93085