What is the Greatest Common Factor of 10352 and 10362?

Greatest common factor (GCF) of 10352 and 10362 is 2.

GCF(10352,10362) = 2

We will now calculate the prime factors of 10352 and 10362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10352 and 10362.

How to find the GCF of 10352 and 10362?

We will first find the prime factorization of 10352 and 10362. After we will calculate the factors of 10352 and 10362 and find the biggest common factor number .

Step-1: Prime Factorization of 10352

Prime factors of 10352 are 2, 647. Prime factorization of 10352 in exponential form is:

10352 = 2⁴ × 647¹

Step-2: Prime Factorization of 10362

Prime factors of 10362 are 2, 3, 11, 157. Prime factorization of 10362 in exponential form is:

10362 = 2¹ × 3¹ × 11¹ × 157¹

Step-3: Factors of 10352

List of positive integer factors of 10352 that divides 10352 without a remainder.

1, 2, 4, 8, 16, 647, 1294, 2588, 5176

Step-4: Factors of 10362

List of positive integer factors of 10362 that divides 10352 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 157, 314, 471, 942, 1727, 3454, 5181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10352 and 10362. The biggest common factor number is the GCF number.
So the greatest common factor 10352 and 10362 is 2.

Also check out the Least Common Multiple of 10352 and 10362