What is the Greatest Common Factor of 94140 and 94149?

Greatest common factor (GCF) of 94140 and 94149 is 9.

GCF(94140,94149) = 9

We will now calculate the prime factors of 94140 and 94149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94140 and 94149.

How to find the GCF of 94140 and 94149?

We will first find the prime factorization of 94140 and 94149. After we will calculate the factors of 94140 and 94149 and find the biggest common factor number .

Step-1: Prime Factorization of 94140

Prime factors of 94140 are 2, 3, 5, 523. Prime factorization of 94140 in exponential form is:

94140 = 2² × 3² × 5¹ × 523¹

Step-2: Prime Factorization of 94149

Prime factors of 94149 are 3, 11, 317. Prime factorization of 94149 in exponential form is:

94149 = 3³ × 11¹ × 317¹

Step-3: Factors of 94140

List of positive integer factors of 94140 that divides 94140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 523, 1046, 1569, 2092, 2615, 3138, 4707, 5230, 6276, 7845, 9414, 10460, 15690, 18828, 23535, 31380, 47070

Step-4: Factors of 94149

List of positive integer factors of 94149 that divides 94140 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297, 317, 951, 2853, 3487, 8559, 10461, 31383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94140 and 94149. The biggest common factor number is the GCF number.
So the greatest common factor 94140 and 94149 is 9.

Also check out the Least Common Multiple of 94140 and 94149