What is the Greatest Common Factor of 35332 and 35343?

Greatest common factor (GCF) of 35332 and 35343 is 11.

GCF(35332,35343) = 11

We will now calculate the prime factors of 35332 and 35343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35332 and 35343.

How to find the GCF of 35332 and 35343?

We will first find the prime factorization of 35332 and 35343. After we will calculate the factors of 35332 and 35343 and find the biggest common factor number .

Step-1: Prime Factorization of 35332

Prime factors of 35332 are 2, 11, 73. Prime factorization of 35332 in exponential form is:

35332 = 2² × 11² × 73¹

Step-2: Prime Factorization of 35343

Prime factors of 35343 are 3, 7, 11, 17. Prime factorization of 35343 in exponential form is:

35343 = 3³ × 7¹ × 11¹ × 17¹

Step-3: Factors of 35332

List of positive integer factors of 35332 that divides 35332 without a remainder.

1, 2, 4, 11, 22, 44, 73, 121, 146, 242, 292, 484, 803, 1606, 3212, 8833, 17666

Step-4: Factors of 35343

List of positive integer factors of 35343 that divides 35332 without a remainder.

1, 3, 7, 9, 11, 17, 21, 27, 33, 51, 63, 77, 99, 119, 153, 187, 189, 231, 297, 357, 459, 561, 693, 1071, 1309, 1683, 2079, 3213, 3927, 5049, 11781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35332 and 35343. The biggest common factor number is the GCF number.
So the greatest common factor 35332 and 35343 is 11.

Also check out the Least Common Multiple of 35332 and 35343