What is the Greatest Common Factor of 58254 and 58274?

Greatest common factor (GCF) of 58254 and 58274 is 2.

GCF(58254,58274) = 2

We will now calculate the prime factors of 58254 and 58274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58254 and 58274.

How to find the GCF of 58254 and 58274?

We will first find the prime factorization of 58254 and 58274. After we will calculate the factors of 58254 and 58274 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 58274

Prime factors of 58274 are 2, 29137. Prime factorization of 58274 in exponential form is:

58274 = 2¹ × 29137¹

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 58274

List of positive integer factors of 58274 that divides 58254 without a remainder.

1, 2, 29137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58254 and 58274. The biggest common factor number is the GCF number.
So the greatest common factor 58254 and 58274 is 2.

Also check out the Least Common Multiple of 58254 and 58274