What is the Greatest Common Factor of 94745 and 94752?

Greatest common factor (GCF) of 94745 and 94752 is 7.

GCF(94745,94752) = 7

We will now calculate the prime factors of 94745 and 94752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94745 and 94752.

How to find the GCF of 94745 and 94752?

We will first find the prime factorization of 94745 and 94752. After we will calculate the factors of 94745 and 94752 and find the biggest common factor number .

Step-1: Prime Factorization of 94745

Prime factors of 94745 are 5, 7, 2707. Prime factorization of 94745 in exponential form is:

94745 = 5¹ × 7¹ × 2707¹

Step-2: 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-3: Factors of 94745

List of positive integer factors of 94745 that divides 94745 without a remainder.

1, 5, 7, 35, 2707, 13535, 18949

Step-4: Factors of 94752

List of positive integer factors of 94752 that divides 94745 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94745 and 94752. The biggest common factor number is the GCF number.
So the greatest common factor 94745 and 94752 is 7.

Also check out the Least Common Multiple of 94745 and 94752