What is the Greatest Common Factor of 58254 and 58268?

Greatest common factor (GCF) of 58254 and 58268 is 14.

GCF(58254,58268) = 14

We will now calculate the prime factors of 58254 and 58268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58254 and 58268.

How to find the GCF of 58254 and 58268?

We will first find the prime factorization of 58254 and 58268. After we will calculate the factors of 58254 and 58268 and find the biggest common factor number .

Step-1: Prime Factorization of 58254

Prime factors of 58254 are 2, 3, 7, 19, 73. Prime factorization of 58254 in exponential form is:

58254 = 2¹ × 3¹ × 7¹ × 19¹ × 73¹

Step-2: Prime Factorization of 58268

Prime factors of 58268 are 2, 7, 2081. Prime factorization of 58268 in exponential form is:

58268 = 2² × 7¹ × 2081¹

Step-3: Factors of 58254

List of positive integer factors of 58254 that divides 58254 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 73, 114, 133, 146, 219, 266, 399, 438, 511, 798, 1022, 1387, 1533, 2774, 3066, 4161, 8322, 9709, 19418, 29127

Step-4: Factors of 58268

List of positive integer factors of 58268 that divides 58254 without a remainder.

1, 2, 4, 7, 14, 28, 2081, 4162, 8324, 14567, 29134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58254 and 58268. The biggest common factor number is the GCF number.
So the greatest common factor 58254 and 58268 is 14.

Also check out the Least Common Multiple of 58254 and 58268