What is the Greatest Common Factor of 58422 and 58429?

Greatest common factor (GCF) of 58422 and 58429 is 7.

GCF(58422,58429) = 7

We will now calculate the prime factors of 58422 and 58429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58422 and 58429.

How to find the GCF of 58422 and 58429?

We will first find the prime factorization of 58422 and 58429. After we will calculate the factors of 58422 and 58429 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 58429

Prime factors of 58429 are 7, 17, 491. Prime factorization of 58429 in exponential form is:

58429 = 7¹ × 17¹ × 491¹

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 58429

List of positive integer factors of 58429 that divides 58422 without a remainder.

1, 7, 17, 119, 491, 3437, 8347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58422 and 58429. The biggest common factor number is the GCF number.
So the greatest common factor 58422 and 58429 is 7.

Also check out the Least Common Multiple of 58422 and 58429