What is the Greatest Common Factor of 94611 and 94629?

Greatest common factor (GCF) of 94611 and 94629 is 3.

GCF(94611,94629) = 3

We will now calculate the prime factors of 94611 and 94629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94611 and 94629.

How to find the GCF of 94611 and 94629?

We will first find the prime factorization of 94611 and 94629. After we will calculate the factors of 94611 and 94629 and find the biggest common factor number .

Step-1: Prime Factorization of 94611

Prime factors of 94611 are 3, 11, 47, 61. Prime factorization of 94611 in exponential form is:

94611 = 3¹ × 11¹ × 47¹ × 61¹

Step-2: Prime Factorization of 94629

Prime factors of 94629 are 3, 31543. Prime factorization of 94629 in exponential form is:

94629 = 3¹ × 31543¹

Step-3: Factors of 94611

List of positive integer factors of 94611 that divides 94611 without a remainder.

1, 3, 11, 33, 47, 61, 141, 183, 517, 671, 1551, 2013, 2867, 8601, 31537

Step-4: Factors of 94629

List of positive integer factors of 94629 that divides 94611 without a remainder.

1, 3, 31543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94611 and 94629. The biggest common factor number is the GCF number.
So the greatest common factor 94611 and 94629 is 3.

Also check out the Least Common Multiple of 94611 and 94629