What is the Greatest Common Factor of 954 and 973?

Greatest common factor (GCF) of 954 and 973 is 1.

GCF(954,973) = 1

We will now calculate the prime factors of 954 and 973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 954 and 973.

How to find the GCF of 954 and 973?

We will first find the prime factorization of 954 and 973. After we will calculate the factors of 954 and 973 and find the biggest common factor number .

Step-1: Prime Factorization of 954

Prime factors of 954 are 2, 3, 53. Prime factorization of 954 in exponential form is:

954 = 2¹ × 3² × 53¹

Step-2: Prime Factorization of 973

Prime factors of 973 are 7, 139. Prime factorization of 973 in exponential form is:

973 = 7¹ × 139¹

Step-3: Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477

Step-4: Factors of 973

List of positive integer factors of 973 that divides 954 without a remainder.

1, 7, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 954 and 973. The biggest common factor number is the GCF number.
So the greatest common factor 954 and 973 is 1.

Also check out the Least Common Multiple of 954 and 973