What is the Greatest Common Factor of 35820 and 35830?

Greatest common factor (GCF) of 35820 and 35830 is 10.

GCF(35820,35830) = 10

We will now calculate the prime factors of 35820 and 35830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35820 and 35830.

How to find the GCF of 35820 and 35830?

We will first find the prime factorization of 35820 and 35830. After we will calculate the factors of 35820 and 35830 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 35830

Prime factors of 35830 are 2, 5, 3583. Prime factorization of 35830 in exponential form is:

35830 = 2¹ × 5¹ × 3583¹

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 35830

List of positive integer factors of 35830 that divides 35820 without a remainder.

1, 2, 5, 10, 3583, 7166, 17915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35820 and 35830. The biggest common factor number is the GCF number.
So the greatest common factor 35820 and 35830 is 10.

Also check out the Least Common Multiple of 35820 and 35830