What is the Greatest Common Factor of 94428 and 94432?

Greatest common factor (GCF) of 94428 and 94432 is 4.

GCF(94428,94432) = 4

We will now calculate the prime factors of 94428 and 94432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94428 and 94432.

How to find the GCF of 94428 and 94432?

We will first find the prime factorization of 94428 and 94432. After we will calculate the factors of 94428 and 94432 and find the biggest common factor number .

Step-1: Prime Factorization of 94428

Prime factors of 94428 are 2, 3, 43, 61. Prime factorization of 94428 in exponential form is:

94428 = 2² × 3² × 43¹ × 61¹

Step-2: Prime Factorization of 94432

Prime factors of 94432 are 2, 13, 227. Prime factorization of 94432 in exponential form is:

94432 = 2⁵ × 13¹ × 227¹

Step-3: Factors of 94428

List of positive integer factors of 94428 that divides 94428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 61, 86, 122, 129, 172, 183, 244, 258, 366, 387, 516, 549, 732, 774, 1098, 1548, 2196, 2623, 5246, 7869, 10492, 15738, 23607, 31476, 47214

Step-4: Factors of 94432

List of positive integer factors of 94432 that divides 94428 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 227, 416, 454, 908, 1816, 2951, 3632, 5902, 7264, 11804, 23608, 47216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94428 and 94432. The biggest common factor number is the GCF number.
So the greatest common factor 94428 and 94432 is 4.

Also check out the Least Common Multiple of 94428 and 94432