What is the Greatest Common Factor of 35836 and 35841?

Greatest common factor (GCF) of 35836 and 35841 is 1.

GCF(35836,35841) = 1

We will now calculate the prime factors of 35836 and 35841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35836 and 35841.

How to find the GCF of 35836 and 35841?

We will first find the prime factorization of 35836 and 35841. After we will calculate the factors of 35836 and 35841 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35841

Prime factors of 35841 are 3, 13, 919. Prime factorization of 35841 in exponential form is:

35841 = 3¹ × 13¹ × 919¹

Step-3: Factors of 35836

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

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

Step-4: Factors of 35841

List of positive integer factors of 35841 that divides 35836 without a remainder.

1, 3, 13, 39, 919, 2757, 11947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35836 and 35841. The biggest common factor number is the GCF number.
So the greatest common factor 35836 and 35841 is 1.

Also check out the Least Common Multiple of 35836 and 35841