What is the Greatest Common Factor of 73177 and 73190?

Greatest common factor (GCF) of 73177 and 73190 is 13.

GCF(73177,73190) = 13

We will now calculate the prime factors of 73177 and 73190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73177 and 73190.

How to find the GCF of 73177 and 73190?

We will first find the prime factorization of 73177 and 73190. After we will calculate the factors of 73177 and 73190 and find the biggest common factor number .

Step-1: Prime Factorization of 73177

Prime factors of 73177 are 13, 433. Prime factorization of 73177 in exponential form is:

73177 = 13² × 433¹

Step-2: Prime Factorization of 73190

Prime factors of 73190 are 2, 5, 13, 563. Prime factorization of 73190 in exponential form is:

73190 = 2¹ × 5¹ × 13¹ × 563¹

Step-3: Factors of 73177

List of positive integer factors of 73177 that divides 73177 without a remainder.

1, 13, 169, 433, 5629

Step-4: Factors of 73190

List of positive integer factors of 73190 that divides 73177 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 563, 1126, 2815, 5630, 7319, 14638, 36595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73177 and 73190. The biggest common factor number is the GCF number.
So the greatest common factor 73177 and 73190 is 13.

Also check out the Least Common Multiple of 73177 and 73190