What is the Greatest Common Factor of 73438 and 73454?

Greatest common factor (GCF) of 73438 and 73454 is 2.

GCF(73438,73454) = 2

We will now calculate the prime factors of 73438 and 73454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73438 and 73454.

How to find the GCF of 73438 and 73454?

We will first find the prime factorization of 73438 and 73454. After we will calculate the factors of 73438 and 73454 and find the biggest common factor number .

Step-1: Prime Factorization of 73438

Prime factors of 73438 are 2, 73, 503. Prime factorization of 73438 in exponential form is:

73438 = 2¹ × 73¹ × 503¹

Step-2: Prime Factorization of 73454

Prime factors of 73454 are 2, 19, 1933. Prime factorization of 73454 in exponential form is:

73454 = 2¹ × 19¹ × 1933¹

Step-3: Factors of 73438

List of positive integer factors of 73438 that divides 73438 without a remainder.

1, 2, 73, 146, 503, 1006, 36719

Step-4: Factors of 73454

List of positive integer factors of 73454 that divides 73438 without a remainder.

1, 2, 19, 38, 1933, 3866, 36727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73438 and 73454. The biggest common factor number is the GCF number.
So the greatest common factor 73438 and 73454 is 2.

Also check out the Least Common Multiple of 73438 and 73454