GCF and LCM Calculator Logo

What is the Greatest Common Factor of 74913 and 74923?

Greatest common factor (GCF) of 74913 and 74923 is 1.

GCF(74913,74923) = 1

We will now calculate the prime factors of 74913 and 74923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74913 and 74923.

GCF Calculator and
and

How to find the GCF of 74913 and 74923?

We will first find the prime factorization of 74913 and 74923. After we will calculate the factors of 74913 and 74923 and find the biggest common factor number .

Step-1: Prime Factorization of 74913

Prime factors of 74913 are 3, 24971. Prime factorization of 74913 in exponential form is:

74913 = 31 × 249711

Step-2: Prime Factorization of 74923

Prime factors of 74923 are 74923. Prime factorization of 74923 in exponential form is:

74923 = 749231

Step-3: Factors of 74913

List of positive integer factors of 74913 that divides 74913 without a remainder.

1, 3, 24971

Step-4: Factors of 74923

List of positive integer factors of 74923 that divides 74913 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74913 and 74923. The biggest common factor number is the GCF number.
So the greatest common factor 74913 and 74923 is 1.

Also check out the Least Common Multiple of 74913 and 74923