What is the Greatest Common Factor of 35833 and 35847?

Greatest common factor (GCF) of 35833 and 35847 is 7.

GCF(35833,35847) = 7

We will now calculate the prime factors of 35833 and 35847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35833 and 35847.

How to find the GCF of 35833 and 35847?

We will first find the prime factorization of 35833 and 35847. After we will calculate the factors of 35833 and 35847 and find the biggest common factor number .

Step-1: Prime Factorization of 35833

Prime factors of 35833 are 7, 5119. Prime factorization of 35833 in exponential form is:

35833 = 7¹ × 5119¹

Step-2: Prime Factorization of 35847

Prime factors of 35847 are 3, 7, 569. Prime factorization of 35847 in exponential form is:

35847 = 3² × 7¹ × 569¹

Step-3: Factors of 35833

List of positive integer factors of 35833 that divides 35833 without a remainder.

1, 7, 5119

Step-4: Factors of 35847

List of positive integer factors of 35847 that divides 35833 without a remainder.

1, 3, 7, 9, 21, 63, 569, 1707, 3983, 5121, 11949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35833 and 35847. The biggest common factor number is the GCF number.
So the greatest common factor 35833 and 35847 is 7.

Also check out the Least Common Multiple of 35833 and 35847