What is the Greatest Common Factor of 94452 and 94458?

Greatest common factor (GCF) of 94452 and 94458 is 6.

GCF(94452,94458) = 6

We will now calculate the prime factors of 94452 and 94458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94452 and 94458.

How to find the GCF of 94452 and 94458?

We will first find the prime factorization of 94452 and 94458. After we will calculate the factors of 94452 and 94458 and find the biggest common factor number .

Step-1: Prime Factorization of 94452

Prime factors of 94452 are 2, 3, 17, 463. Prime factorization of 94452 in exponential form is:

94452 = 2² × 3¹ × 17¹ × 463¹

Step-2: Prime Factorization of 94458

Prime factors of 94458 are 2, 3, 7, 13, 173. Prime factorization of 94458 in exponential form is:

94458 = 2¹ × 3¹ × 7¹ × 13¹ × 173¹

Step-3: Factors of 94452

List of positive integer factors of 94452 that divides 94452 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 463, 926, 1389, 1852, 2778, 5556, 7871, 15742, 23613, 31484, 47226

Step-4: Factors of 94458

List of positive integer factors of 94458 that divides 94452 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 173, 182, 273, 346, 519, 546, 1038, 1211, 2249, 2422, 3633, 4498, 6747, 7266, 13494, 15743, 31486, 47229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94452 and 94458. The biggest common factor number is the GCF number.
So the greatest common factor 94452 and 94458 is 6.

Also check out the Least Common Multiple of 94452 and 94458