What is the Greatest Common Factor of 94752 and 94772?

Greatest common factor (GCF) of 94752 and 94772 is 4.

GCF(94752,94772) = 4

We will now calculate the prime factors of 94752 and 94772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94752 and 94772.

How to find the GCF of 94752 and 94772?

We will first find the prime factorization of 94752 and 94772. After we will calculate the factors of 94752 and 94772 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 94772

Prime factors of 94772 are 2, 19, 29, 43. Prime factorization of 94772 in exponential form is:

94772 = 2² × 19¹ × 29¹ × 43¹

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 94772

List of positive integer factors of 94772 that divides 94752 without a remainder.

1, 2, 4, 19, 29, 38, 43, 58, 76, 86, 116, 172, 551, 817, 1102, 1247, 1634, 2204, 2494, 3268, 4988, 23693, 47386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94752 and 94772. The biggest common factor number is the GCF number.
So the greatest common factor 94752 and 94772 is 4.

Also check out the Least Common Multiple of 94752 and 94772