What is the Greatest Common Factor of 94692 and 94704?

Greatest common factor (GCF) of 94692 and 94704 is 12.

GCF(94692,94704) = 12

We will now calculate the prime factors of 94692 and 94704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94692 and 94704.

How to find the GCF of 94692 and 94704?

We will first find the prime factorization of 94692 and 94704. After we will calculate the factors of 94692 and 94704 and find the biggest common factor number .

Step-1: Prime Factorization of 94692

Prime factors of 94692 are 2, 3, 13, 607. Prime factorization of 94692 in exponential form is:

94692 = 2² × 3¹ × 13¹ × 607¹

Step-2: Prime Factorization of 94704

Prime factors of 94704 are 2, 3, 1973. Prime factorization of 94704 in exponential form is:

94704 = 2⁴ × 3¹ × 1973¹

Step-3: Factors of 94692

List of positive integer factors of 94692 that divides 94692 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 607, 1214, 1821, 2428, 3642, 7284, 7891, 15782, 23673, 31564, 47346

Step-4: Factors of 94704

List of positive integer factors of 94704 that divides 94692 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1973, 3946, 5919, 7892, 11838, 15784, 23676, 31568, 47352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94692 and 94704. The biggest common factor number is the GCF number.
So the greatest common factor 94692 and 94704 is 12.

Also check out the Least Common Multiple of 94692 and 94704