What is the Greatest Common Factor of 35847 and 35861?

Greatest common factor (GCF) of 35847 and 35861 is 7.

GCF(35847,35861) = 7

We will now calculate the prime factors of 35847 and 35861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35847 and 35861.

How to find the GCF of 35847 and 35861?

We will first find the prime factorization of 35847 and 35861. After we will calculate the factors of 35847 and 35861 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35861

Prime factors of 35861 are 7, 47, 109. Prime factorization of 35861 in exponential form is:

35861 = 7¹ × 47¹ × 109¹

Step-3: Factors of 35847

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

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

Step-4: Factors of 35861

List of positive integer factors of 35861 that divides 35847 without a remainder.

1, 7, 47, 109, 329, 763, 5123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35847 and 35861. The biggest common factor number is the GCF number.
So the greatest common factor 35847 and 35861 is 7.

Also check out the Least Common Multiple of 35847 and 35861