What is the Greatest Common Factor of 94563 and 94582?

Greatest common factor (GCF) of 94563 and 94582 is 19.

GCF(94563,94582) = 19

We will now calculate the prime factors of 94563 and 94582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94563 and 94582.

How to find the GCF of 94563 and 94582?

We will first find the prime factorization of 94563 and 94582. After we will calculate the factors of 94563 and 94582 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 94582

Prime factors of 94582 are 2, 19, 131. Prime factorization of 94582 in exponential form is:

94582 = 2¹ × 19² × 131¹

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 94582

List of positive integer factors of 94582 that divides 94563 without a remainder.

1, 2, 19, 38, 131, 262, 361, 722, 2489, 4978, 47291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94563 and 94582. The biggest common factor number is the GCF number.
So the greatest common factor 94563 and 94582 is 19.

Also check out the Least Common Multiple of 94563 and 94582