What is the Greatest Common Factor of 73438 and 73446?

Greatest common factor (GCF) of 73438 and 73446 is 2.

GCF(73438,73446) = 2

We will now calculate the prime factors of 73438 and 73446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73438 and 73446.

How to find the GCF of 73438 and 73446?

We will first find the prime factorization of 73438 and 73446. After we will calculate the factors of 73438 and 73446 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 73446

Prime factors of 73446 are 2, 3, 12241. Prime factorization of 73446 in exponential form is:

73446 = 2¹ × 3¹ × 12241¹

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 73446

List of positive integer factors of 73446 that divides 73438 without a remainder.

1, 2, 3, 6, 12241, 24482, 36723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73438 and 73446. The biggest common factor number is the GCF number.
So the greatest common factor 73438 and 73446 is 2.

Also check out the Least Common Multiple of 73438 and 73446