What is the Greatest Common Factor of 3954 and 3973?

Greatest common factor (GCF) of 3954 and 3973 is 1.

GCF(3954,3973) = 1

We will now calculate the prime factors of 3954 and 3973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3954 and 3973.

How to find the GCF of 3954 and 3973?

We will first find the prime factorization of 3954 and 3973. After we will calculate the factors of 3954 and 3973 and find the biggest common factor number .

Step-1: Prime Factorization of 3954

Prime factors of 3954 are 2, 3, 659. Prime factorization of 3954 in exponential form is:

3954 = 2¹ × 3¹ × 659¹

Step-2: Prime Factorization of 3973

Prime factors of 3973 are 29, 137. Prime factorization of 3973 in exponential form is:

3973 = 29¹ × 137¹

Step-3: Factors of 3954

List of positive integer factors of 3954 that divides 3954 without a remainder.

1, 2, 3, 6, 659, 1318, 1977

Step-4: Factors of 3973

List of positive integer factors of 3973 that divides 3954 without a remainder.

1, 29, 137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3954 and 3973. The biggest common factor number is the GCF number.
So the greatest common factor 3954 and 3973 is 1.

Also check out the Least Common Multiple of 3954 and 3973