What is the Greatest Common Factor of 35820 and 35834?

Greatest common factor (GCF) of 35820 and 35834 is 2.

GCF(35820,35834) = 2

We will now calculate the prime factors of 35820 and 35834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35820 and 35834.

How to find the GCF of 35820 and 35834?

We will first find the prime factorization of 35820 and 35834. After we will calculate the factors of 35820 and 35834 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35834

Prime factors of 35834 are 2, 19, 23, 41. Prime factorization of 35834 in exponential form is:

35834 = 2¹ × 19¹ × 23¹ × 41¹

Step-3: Factors of 35820

List of positive integer factors of 35820 that divides 35820 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

Step-4: Factors of 35834

List of positive integer factors of 35834 that divides 35820 without a remainder.

1, 2, 19, 23, 38, 41, 46, 82, 437, 779, 874, 943, 1558, 1886, 17917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35820 and 35834. The biggest common factor number is the GCF number.
So the greatest common factor 35820 and 35834 is 2.

Also check out the Least Common Multiple of 35820 and 35834