What is the Greatest Common Factor of 1953 and 1973?

Greatest common factor (GCF) of 1953 and 1973 is 1.

GCF(1953,1973) = 1

We will now calculate the prime factors of 1953 and 1973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1953 and 1973.

How to find the GCF of 1953 and 1973?

We will first find the prime factorization of 1953 and 1973. After we will calculate the factors of 1953 and 1973 and find the biggest common factor number .

Step-1: Prime Factorization of 1953

Prime factors of 1953 are 3, 7, 31. Prime factorization of 1953 in exponential form is:

1953 = 3² × 7¹ × 31¹

Step-2: Prime Factorization of 1973

Prime factors of 1973 are 1973. Prime factorization of 1973 in exponential form is:

1973 = 1973¹

Step-3: Factors of 1953

List of positive integer factors of 1953 that divides 1953 without a remainder.

1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651

Step-4: Factors of 1973

List of positive integer factors of 1973 that divides 1953 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1953 and 1973. The biggest common factor number is the GCF number.
So the greatest common factor 1953 and 1973 is 1.

Also check out the Least Common Multiple of 1953 and 1973