What is the Greatest Common Factor of 3945 and 3961?

Greatest common factor (GCF) of 3945 and 3961 is 1.

GCF(3945,3961) = 1

We will now calculate the prime factors of 3945 and 3961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3945 and 3961.

How to find the GCF of 3945 and 3961?

We will first find the prime factorization of 3945 and 3961. After we will calculate the factors of 3945 and 3961 and find the biggest common factor number .

Step-1: Prime Factorization of 3945

Prime factors of 3945 are 3, 5, 263. Prime factorization of 3945 in exponential form is:

3945 = 3¹ × 5¹ × 263¹

Step-2: Prime Factorization of 3961

Prime factors of 3961 are 17, 233. Prime factorization of 3961 in exponential form is:

3961 = 17¹ × 233¹

Step-3: Factors of 3945

List of positive integer factors of 3945 that divides 3945 without a remainder.

1, 3, 5, 15, 263, 789, 1315

Step-4: Factors of 3961

List of positive integer factors of 3961 that divides 3945 without a remainder.

1, 17, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3945 and 3961. The biggest common factor number is the GCF number.
So the greatest common factor 3945 and 3961 is 1.

Also check out the Least Common Multiple of 3945 and 3961