What is the Greatest Common Factor of 35830 and 35836?

Greatest common factor (GCF) of 35830 and 35836 is 2.

GCF(35830,35836) = 2

We will now calculate the prime factors of 35830 and 35836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35830 and 35836.

How to find the GCF of 35830 and 35836?

We will first find the prime factorization of 35830 and 35836. After we will calculate the factors of 35830 and 35836 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35836

Prime factors of 35836 are 2, 17, 31. Prime factorization of 35836 in exponential form is:

35836 = 2² × 17² × 31¹

Step-3: Factors of 35830

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

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

Step-4: Factors of 35836

List of positive integer factors of 35836 that divides 35830 without a remainder.

1, 2, 4, 17, 31, 34, 62, 68, 124, 289, 527, 578, 1054, 1156, 2108, 8959, 17918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35830 and 35836. The biggest common factor number is the GCF number.
So the greatest common factor 35830 and 35836 is 2.

Also check out the Least Common Multiple of 35830 and 35836