What is the Greatest Common Factor of 94752 and 94764?

Greatest common factor (GCF) of 94752 and 94764 is 12.

GCF(94752,94764) = 12

We will now calculate the prime factors of 94752 and 94764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94752 and 94764.

How to find the GCF of 94752 and 94764?

We will first find the prime factorization of 94752 and 94764. After we will calculate the factors of 94752 and 94764 and find the biggest common factor number .

Step-1: Prime Factorization of 94752

Prime factors of 94752 are 2, 3, 7, 47. Prime factorization of 94752 in exponential form is:

94752 = 2⁵ × 3² × 7¹ × 47¹

Step-2: Prime Factorization of 94764

Prime factors of 94764 are 2, 3, 53, 149. Prime factorization of 94764 in exponential form is:

94764 = 2² × 3¹ × 53¹ × 149¹

Step-3: Factors of 94752

List of positive integer factors of 94752 that divides 94752 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 47, 48, 56, 63, 72, 84, 94, 96, 112, 126, 141, 144, 168, 188, 224, 252, 282, 288, 329, 336, 376, 423, 504, 564, 658, 672, 752, 846, 987, 1008, 1128, 1316, 1504, 1692, 1974, 2016, 2256, 2632, 2961, 3384, 3948, 4512, 5264, 5922, 6768, 7896, 10528, 11844, 13536, 15792, 23688, 31584, 47376

Step-4: Factors of 94764

List of positive integer factors of 94764 that divides 94752 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 149, 159, 212, 298, 318, 447, 596, 636, 894, 1788, 7897, 15794, 23691, 31588, 47382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94752 and 94764. The biggest common factor number is the GCF number.
So the greatest common factor 94752 and 94764 is 12.

Also check out the Least Common Multiple of 94752 and 94764