What is the Greatest Common Factor of 94440 and 94458?

Greatest common factor (GCF) of 94440 and 94458 is 6.

GCF(94440,94458) = 6

We will now calculate the prime factors of 94440 and 94458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94440 and 94458.

How to find the GCF of 94440 and 94458?

We will first find the prime factorization of 94440 and 94458. After we will calculate the factors of 94440 and 94458 and find the biggest common factor number .

Step-1: Prime Factorization of 94440

Prime factors of 94440 are 2, 3, 5, 787. Prime factorization of 94440 in exponential form is:

94440 = 2³ × 3¹ × 5¹ × 787¹

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 94440

List of positive integer factors of 94440 that divides 94440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 787, 1574, 2361, 3148, 3935, 4722, 6296, 7870, 9444, 11805, 15740, 18888, 23610, 31480, 47220

Step-4: Factors of 94458

List of positive integer factors of 94458 that divides 94440 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 94440 and 94458. The biggest common factor number is the GCF number.
So the greatest common factor 94440 and 94458 is 6.

Also check out the Least Common Multiple of 94440 and 94458