What is the Greatest Common Factor of 94743 and 94754?

Greatest common factor (GCF) of 94743 and 94754 is 11.

GCF(94743,94754) = 11

We will now calculate the prime factors of 94743 and 94754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94743 and 94754.

How to find the GCF of 94743 and 94754?

We will first find the prime factorization of 94743 and 94754. After we will calculate the factors of 94743 and 94754 and find the biggest common factor number .

Step-1: Prime Factorization of 94743

Prime factors of 94743 are 3, 11, 29. Prime factorization of 94743 in exponential form is:

94743 = 3³ × 11² × 29¹

Step-2: Prime Factorization of 94754

Prime factors of 94754 are 2, 11, 59, 73. Prime factorization of 94754 in exponential form is:

94754 = 2¹ × 11¹ × 59¹ × 73¹

Step-3: Factors of 94743

List of positive integer factors of 94743 that divides 94743 without a remainder.

1, 3, 9, 11, 27, 29, 33, 87, 99, 121, 261, 297, 319, 363, 783, 957, 1089, 2871, 3267, 3509, 8613, 10527, 31581

Step-4: Factors of 94754

List of positive integer factors of 94754 that divides 94743 without a remainder.

1, 2, 11, 22, 59, 73, 118, 146, 649, 803, 1298, 1606, 4307, 8614, 47377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94743 and 94754. The biggest common factor number is the GCF number.
So the greatest common factor 94743 and 94754 is 11.

Also check out the Least Common Multiple of 94743 and 94754