What is the Greatest Common Factor of 73244 and 73258?

Greatest common factor (GCF) of 73244 and 73258 is 2.

GCF(73244,73258) = 2

We will now calculate the prime factors of 73244 and 73258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73244 and 73258.

How to find the GCF of 73244 and 73258?

We will first find the prime factorization of 73244 and 73258. After we will calculate the factors of 73244 and 73258 and find the biggest common factor number .

Step-1: Prime Factorization of 73244

Prime factors of 73244 are 2, 18311. Prime factorization of 73244 in exponential form is:

73244 = 2² × 18311¹

Step-2: Prime Factorization of 73258

Prime factors of 73258 are 2, 36629. Prime factorization of 73258 in exponential form is:

73258 = 2¹ × 36629¹

Step-3: Factors of 73244

List of positive integer factors of 73244 that divides 73244 without a remainder.

1, 2, 4, 18311, 36622

Step-4: Factors of 73258

List of positive integer factors of 73258 that divides 73244 without a remainder.

1, 2, 36629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73244 and 73258. The biggest common factor number is the GCF number.
So the greatest common factor 73244 and 73258 is 2.

Also check out the Least Common Multiple of 73244 and 73258