What is the Greatest Common Factor of 94688 and 94692?

Greatest common factor (GCF) of 94688 and 94692 is 4.

GCF(94688,94692) = 4

We will now calculate the prime factors of 94688 and 94692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94688 and 94692.

How to find the GCF of 94688 and 94692?

We will first find the prime factorization of 94688 and 94692. After we will calculate the factors of 94688 and 94692 and find the biggest common factor number .

Step-1: Prime Factorization of 94688

Prime factors of 94688 are 2, 11, 269. Prime factorization of 94688 in exponential form is:

94688 = 2⁵ × 11¹ × 269¹

Step-2: 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-3: Factors of 94688

List of positive integer factors of 94688 that divides 94688 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 269, 352, 538, 1076, 2152, 2959, 4304, 5918, 8608, 11836, 23672, 47344

Step-4: Factors of 94692

List of positive integer factors of 94692 that divides 94688 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94688 and 94692. The biggest common factor number is the GCF number.
So the greatest common factor 94688 and 94692 is 4.

Also check out the Least Common Multiple of 94688 and 94692