What is the Greatest Common Factor of 35802 and 35820?

Greatest common factor (GCF) of 35802 and 35820 is 18.

GCF(35802,35820) = 18

We will now calculate the prime factors of 35802 and 35820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35802 and 35820.

How to find the GCF of 35802 and 35820?

We will first find the prime factorization of 35802 and 35820. After we will calculate the factors of 35802 and 35820 and find the biggest common factor number .

Step-1: Prime Factorization of 35802

Prime factors of 35802 are 2, 3, 13, 17. Prime factorization of 35802 in exponential form is:

35802 = 2¹ × 3⁴ × 13¹ × 17¹

Step-2: Prime Factorization of 35820

Prime factors of 35820 are 2, 3, 5, 199. Prime factorization of 35820 in exponential form is:

35820 = 2² × 3² × 5¹ × 199¹

Step-3: Factors of 35802

List of positive integer factors of 35802 that divides 35802 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 27, 34, 39, 51, 54, 78, 81, 102, 117, 153, 162, 221, 234, 306, 351, 442, 459, 663, 702, 918, 1053, 1326, 1377, 1989, 2106, 2754, 3978, 5967, 11934, 17901

Step-4: Factors of 35820

List of positive integer factors of 35820 that divides 35802 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 199, 398, 597, 796, 995, 1194, 1791, 1990, 2388, 2985, 3582, 3980, 5970, 7164, 8955, 11940, 17910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35802 and 35820. The biggest common factor number is the GCF number.
So the greatest common factor 35802 and 35820 is 18.

Also check out the Least Common Multiple of 35802 and 35820