What is the Greatest Common Factor of 58422 and 58442?

Greatest common factor (GCF) of 58422 and 58442 is 2.

GCF(58422,58442) = 2

We will now calculate the prime factors of 58422 and 58442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58422 and 58442.

How to find the GCF of 58422 and 58442?

We will first find the prime factorization of 58422 and 58442. After we will calculate the factors of 58422 and 58442 and find the biggest common factor number .

Step-1: Prime Factorization of 58422

Prime factors of 58422 are 2, 3, 7, 13, 107. Prime factorization of 58422 in exponential form is:

58422 = 2¹ × 3¹ × 7¹ × 13¹ × 107¹

Step-2: Prime Factorization of 58442

Prime factors of 58442 are 2, 29221. Prime factorization of 58442 in exponential form is:

58442 = 2¹ × 29221¹

Step-3: Factors of 58422

List of positive integer factors of 58422 that divides 58422 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 107, 182, 214, 273, 321, 546, 642, 749, 1391, 1498, 2247, 2782, 4173, 4494, 8346, 9737, 19474, 29211

Step-4: Factors of 58442

List of positive integer factors of 58442 that divides 58422 without a remainder.

1, 2, 29221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58422 and 58442. The biggest common factor number is the GCF number.
So the greatest common factor 58422 and 58442 is 2.

Also check out the Least Common Multiple of 58422 and 58442