What is the Greatest Common Factor of 73436 and 73447?

Greatest common factor (GCF) of 73436 and 73447 is 11.

GCF(73436,73447) = 11

We will now calculate the prime factors of 73436 and 73447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73436 and 73447.

How to find the GCF of 73436 and 73447?

We will first find the prime factorization of 73436 and 73447. After we will calculate the factors of 73436 and 73447 and find the biggest common factor number .

Step-1: Prime Factorization of 73436

Prime factors of 73436 are 2, 11, 1669. Prime factorization of 73436 in exponential form is:

73436 = 2² × 11¹ × 1669¹

Step-2: Prime Factorization of 73447

Prime factors of 73447 are 11, 607. Prime factorization of 73447 in exponential form is:

73447 = 11² × 607¹

Step-3: Factors of 73436

List of positive integer factors of 73436 that divides 73436 without a remainder.

1, 2, 4, 11, 22, 44, 1669, 3338, 6676, 18359, 36718

Step-4: Factors of 73447

List of positive integer factors of 73447 that divides 73436 without a remainder.

1, 11, 121, 607, 6677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73436 and 73447. The biggest common factor number is the GCF number.
So the greatest common factor 73436 and 73447 is 11.

Also check out the Least Common Multiple of 73436 and 73447