What is the Greatest Common Factor of 58446 and 58464?

Greatest common factor (GCF) of 58446 and 58464 is 18.

GCF(58446,58464) = 18

We will now calculate the prime factors of 58446 and 58464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58446 and 58464.

How to find the GCF of 58446 and 58464?

We will first find the prime factorization of 58446 and 58464. After we will calculate the factors of 58446 and 58464 and find the biggest common factor number .

Step-1: Prime Factorization of 58446

Prime factors of 58446 are 2, 3, 17, 191. Prime factorization of 58446 in exponential form is:

58446 = 2¹ × 3² × 17¹ × 191¹

Step-2: Prime Factorization of 58464

Prime factors of 58464 are 2, 3, 7, 29. Prime factorization of 58464 in exponential form is:

58464 = 2⁵ × 3² × 7¹ × 29¹

Step-3: Factors of 58446

List of positive integer factors of 58446 that divides 58446 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 191, 306, 382, 573, 1146, 1719, 3247, 3438, 6494, 9741, 19482, 29223

Step-4: Factors of 58464

List of positive integer factors of 58464 that divides 58446 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 29, 32, 36, 42, 48, 56, 58, 63, 72, 84, 87, 96, 112, 116, 126, 144, 168, 174, 203, 224, 232, 252, 261, 288, 336, 348, 406, 464, 504, 522, 609, 672, 696, 812, 928, 1008, 1044, 1218, 1392, 1624, 1827, 2016, 2088, 2436, 2784, 3248, 3654, 4176, 4872, 6496, 7308, 8352, 9744, 14616, 19488, 29232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58446 and 58464. The biggest common factor number is the GCF number.
So the greatest common factor 58446 and 58464 is 18.

Also check out the Least Common Multiple of 58446 and 58464