What is the Greatest Common Factor of 94752 and 94766?

Greatest common factor (GCF) of 94752 and 94766 is 14.

GCF(94752,94766) = 14

We will now calculate the prime factors of 94752 and 94766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94752 and 94766.

How to find the GCF of 94752 and 94766?

We will first find the prime factorization of 94752 and 94766. After we will calculate the factors of 94752 and 94766 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 94766

Prime factors of 94766 are 2, 7, 967. Prime factorization of 94766 in exponential form is:

94766 = 2¹ × 7² × 967¹

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 94766

List of positive integer factors of 94766 that divides 94752 without a remainder.

1, 2, 7, 14, 49, 98, 967, 1934, 6769, 13538, 47383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94752 and 94766. The biggest common factor number is the GCF number.
So the greatest common factor 94752 and 94766 is 14.

Also check out the Least Common Multiple of 94752 and 94766