What is the Greatest Common Factor of 94752 and 94761?

Greatest common factor (GCF) of 94752 and 94761 is 9.

GCF(94752,94761) = 9

We will now calculate the prime factors of 94752 and 94761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94752 and 94761.

How to find the GCF of 94752 and 94761?

We will first find the prime factorization of 94752 and 94761. After we will calculate the factors of 94752 and 94761 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 94761

Prime factors of 94761 are 3, 10529. Prime factorization of 94761 in exponential form is:

94761 = 3² × 10529¹

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 94761

List of positive integer factors of 94761 that divides 94752 without a remainder.

1, 3, 9, 10529, 31587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94752 and 94761. The biggest common factor number is the GCF number.
So the greatest common factor 94752 and 94761 is 9.

Also check out the Least Common Multiple of 94752 and 94761