What is the Greatest Common Factor of 58352 and 58362?

Greatest common factor (GCF) of 58352 and 58362 is 2.

GCF(58352,58362) = 2

We will now calculate the prime factors of 58352 and 58362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58352 and 58362.

How to find the GCF of 58352 and 58362?

We will first find the prime factorization of 58352 and 58362. After we will calculate the factors of 58352 and 58362 and find the biggest common factor number .

Step-1: Prime Factorization of 58352

Prime factors of 58352 are 2, 7, 521. Prime factorization of 58352 in exponential form is:

58352 = 2⁴ × 7¹ × 521¹

Step-2: Prime Factorization of 58362

Prime factors of 58362 are 2, 3, 71, 137. Prime factorization of 58362 in exponential form is:

58362 = 2¹ × 3¹ × 71¹ × 137¹

Step-3: Factors of 58352

List of positive integer factors of 58352 that divides 58352 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 521, 1042, 2084, 3647, 4168, 7294, 8336, 14588, 29176

Step-4: Factors of 58362

List of positive integer factors of 58362 that divides 58352 without a remainder.

1, 2, 3, 6, 71, 137, 142, 213, 274, 411, 426, 822, 9727, 19454, 29181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58352 and 58362. The biggest common factor number is the GCF number.
So the greatest common factor 58352 and 58362 is 2.

Also check out the Least Common Multiple of 58352 and 58362