What is the Greatest Common Factor of 35849 and 35860?

Greatest common factor (GCF) of 35849 and 35860 is 11.

GCF(35849,35860) = 11

We will now calculate the prime factors of 35849 and 35860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35849 and 35860.

How to find the GCF of 35849 and 35860?

We will first find the prime factorization of 35849 and 35860. After we will calculate the factors of 35849 and 35860 and find the biggest common factor number .

Step-1: Prime Factorization of 35849

Prime factors of 35849 are 11, 3259. Prime factorization of 35849 in exponential form is:

35849 = 11¹ × 3259¹

Step-2: Prime Factorization of 35860

Prime factors of 35860 are 2, 5, 11, 163. Prime factorization of 35860 in exponential form is:

35860 = 2² × 5¹ × 11¹ × 163¹

Step-3: Factors of 35849

List of positive integer factors of 35849 that divides 35849 without a remainder.

1, 11, 3259

Step-4: Factors of 35860

List of positive integer factors of 35860 that divides 35849 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 163, 220, 326, 652, 815, 1630, 1793, 3260, 3586, 7172, 8965, 17930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35849 and 35860. The biggest common factor number is the GCF number.
So the greatest common factor 35849 and 35860 is 11.

Also check out the Least Common Multiple of 35849 and 35860