What is the Greatest Common Factor of 1929 and 1949?

Greatest common factor (GCF) of 1929 and 1949 is 1.

GCF(1929,1949) = 1

We will now calculate the prime factors of 1929 and 1949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1929 and 1949.

How to find the GCF of 1929 and 1949?

We will first find the prime factorization of 1929 and 1949. After we will calculate the factors of 1929 and 1949 and find the biggest common factor number .

Step-1: Prime Factorization of 1929

Prime factors of 1929 are 3, 643. Prime factorization of 1929 in exponential form is:

1929 = 3¹ × 643¹

Step-2: Prime Factorization of 1949

Prime factors of 1949 are 1949. Prime factorization of 1949 in exponential form is:

1949 = 1949¹

Step-3: Factors of 1929

List of positive integer factors of 1929 that divides 1929 without a remainder.

1, 3, 643

Step-4: Factors of 1949

List of positive integer factors of 1949 that divides 1929 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1929 and 1949. The biggest common factor number is the GCF number.
So the greatest common factor 1929 and 1949 is 1.

Also check out the Least Common Multiple of 1929 and 1949