What is the Greatest Common Factor of 93528 and 93546?

Greatest common factor (GCF) of 93528 and 93546 is 18.

GCF(93528,93546) = 18

We will now calculate the prime factors of 93528 and 93546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93528 and 93546.

How to find the GCF of 93528 and 93546?

We will first find the prime factorization of 93528 and 93546. After we will calculate the factors of 93528 and 93546 and find the biggest common factor number .

Step-1: Prime Factorization of 93528

Prime factors of 93528 are 2, 3, 433. Prime factorization of 93528 in exponential form is:

93528 = 2³ × 3³ × 433¹

Step-2: Prime Factorization of 93546

Prime factors of 93546 are 2, 3, 5197. Prime factorization of 93546 in exponential form is:

93546 = 2¹ × 3² × 5197¹

Step-3: Factors of 93528

List of positive integer factors of 93528 that divides 93528 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 433, 866, 1299, 1732, 2598, 3464, 3897, 5196, 7794, 10392, 11691, 15588, 23382, 31176, 46764

Step-4: Factors of 93546

List of positive integer factors of 93546 that divides 93528 without a remainder.

1, 2, 3, 6, 9, 18, 5197, 10394, 15591, 31182, 46773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93528 and 93546. The biggest common factor number is the GCF number.
So the greatest common factor 93528 and 93546 is 18.

Also check out the Least Common Multiple of 93528 and 93546