What is the Greatest Common Factor of 94674 and 94688?

Greatest common factor (GCF) of 94674 and 94688 is 2.

GCF(94674,94688) = 2

We will now calculate the prime factors of 94674 and 94688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94674 and 94688.

How to find the GCF of 94674 and 94688?

We will first find the prime factorization of 94674 and 94688. After we will calculate the factors of 94674 and 94688 and find the biggest common factor number .

Step-1: Prime Factorization of 94674

Prime factors of 94674 are 2, 3, 31, 509. Prime factorization of 94674 in exponential form is:

94674 = 2¹ × 3¹ × 31¹ × 509¹

Step-2: 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-3: Factors of 94674

List of positive integer factors of 94674 that divides 94674 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 509, 1018, 1527, 3054, 15779, 31558, 47337

Step-4: Factors of 94688

List of positive integer factors of 94688 that divides 94674 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94674 and 94688. The biggest common factor number is the GCF number.
So the greatest common factor 94674 and 94688 is 2.

Also check out the Least Common Multiple of 94674 and 94688