What is the Greatest Common Factor of 94659 and 94668?

Greatest common factor (GCF) of 94659 and 94668 is 3.

GCF(94659,94668) = 3

We will now calculate the prime factors of 94659 and 94668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94659 and 94668.

How to find the GCF of 94659 and 94668?

We will first find the prime factorization of 94659 and 94668. After we will calculate the factors of 94659 and 94668 and find the biggest common factor number .

Step-1: Prime Factorization of 94659

Prime factors of 94659 are 3, 139, 227. Prime factorization of 94659 in exponential form is:

94659 = 3¹ × 139¹ × 227¹

Step-2: Prime Factorization of 94668

Prime factors of 94668 are 2, 3, 7, 23. Prime factorization of 94668 in exponential form is:

94668 = 2² × 3¹ × 7³ × 23¹

Step-3: Factors of 94659

List of positive integer factors of 94659 that divides 94659 without a remainder.

1, 3, 139, 227, 417, 681, 31553

Step-4: Factors of 94668

List of positive integer factors of 94668 that divides 94659 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 49, 69, 84, 92, 98, 138, 147, 161, 196, 276, 294, 322, 343, 483, 588, 644, 686, 966, 1029, 1127, 1372, 1932, 2058, 2254, 3381, 4116, 4508, 6762, 7889, 13524, 15778, 23667, 31556, 47334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94659 and 94668. The biggest common factor number is the GCF number.
So the greatest common factor 94659 and 94668 is 3.

Also check out the Least Common Multiple of 94659 and 94668