What is the Greatest Common Factor of 94563 and 94578?

Greatest common factor (GCF) of 94563 and 94578 is 3.

GCF(94563,94578) = 3

We will now calculate the prime factors of 94563 and 94578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94563 and 94578.

How to find the GCF of 94563 and 94578?

We will first find the prime factorization of 94563 and 94578. After we will calculate the factors of 94563 and 94578 and find the biggest common factor number .

Step-1: Prime Factorization of 94563

Prime factors of 94563 are 3, 7, 19, 79. Prime factorization of 94563 in exponential form is:

94563 = 3² × 7¹ × 19¹ × 79¹

Step-2: Prime Factorization of 94578

Prime factors of 94578 are 2, 3, 11, 1433. Prime factorization of 94578 in exponential form is:

94578 = 2¹ × 3¹ × 11¹ × 1433¹

Step-3: Factors of 94563

List of positive integer factors of 94563 that divides 94563 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 79, 133, 171, 237, 399, 553, 711, 1197, 1501, 1659, 4503, 4977, 10507, 13509, 31521

Step-4: Factors of 94578

List of positive integer factors of 94578 that divides 94563 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1433, 2866, 4299, 8598, 15763, 31526, 47289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94563 and 94578. The biggest common factor number is the GCF number.
So the greatest common factor 94563 and 94578 is 3.

Also check out the Least Common Multiple of 94563 and 94578