What is the Greatest Common Factor of 58254 and 58262?

Greatest common factor (GCF) of 58254 and 58262 is 2.

GCF(58254,58262) = 2

We will now calculate the prime factors of 58254 and 58262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58254 and 58262.

How to find the GCF of 58254 and 58262?

We will first find the prime factorization of 58254 and 58262. After we will calculate the factors of 58254 and 58262 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 58262

Prime factors of 58262 are 2, 29131. Prime factorization of 58262 in exponential form is:

58262 = 2¹ × 29131¹

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 58262

List of positive integer factors of 58262 that divides 58254 without a remainder.

1, 2, 29131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58254 and 58262. The biggest common factor number is the GCF number.
So the greatest common factor 58254 and 58262 is 2.

Also check out the Least Common Multiple of 58254 and 58262