What is the Greatest Common Factor of 94905 and 94924?

Greatest common factor (GCF) of 94905 and 94924 is 19.

GCF(94905,94924) = 19

We will now calculate the prime factors of 94905 and 94924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94905 and 94924.

How to find the GCF of 94905 and 94924?

We will first find the prime factorization of 94905 and 94924. After we will calculate the factors of 94905 and 94924 and find the biggest common factor number .

Step-1: Prime Factorization of 94905

Prime factors of 94905 are 3, 5, 19, 37. Prime factorization of 94905 in exponential form is:

94905 = 3³ × 5¹ × 19¹ × 37¹

Step-2: Prime Factorization of 94924

Prime factors of 94924 are 2, 19, 1249. Prime factorization of 94924 in exponential form is:

94924 = 2² × 19¹ × 1249¹

Step-3: Factors of 94905

List of positive integer factors of 94905 that divides 94905 without a remainder.

1, 3, 5, 9, 15, 19, 27, 37, 45, 57, 95, 111, 135, 171, 185, 285, 333, 513, 555, 703, 855, 999, 1665, 2109, 2565, 3515, 4995, 6327, 10545, 18981, 31635

Step-4: Factors of 94924

List of positive integer factors of 94924 that divides 94905 without a remainder.

1, 2, 4, 19, 38, 76, 1249, 2498, 4996, 23731, 47462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94905 and 94924. The biggest common factor number is the GCF number.
So the greatest common factor 94905 and 94924 is 19.

Also check out the Least Common Multiple of 94905 and 94924