What is the Greatest Common Factor of 74230 and 74243?

Greatest common factor (GCF) of 74230 and 74243 is 13.

GCF(74230,74243) = 13

We will now calculate the prime factors of 74230 and 74243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74230 and 74243.

How to find the GCF of 74230 and 74243?

We will first find the prime factorization of 74230 and 74243. After we will calculate the factors of 74230 and 74243 and find the biggest common factor number .

Step-1: Prime Factorization of 74230

Prime factors of 74230 are 2, 5, 13, 571. Prime factorization of 74230 in exponential form is:

74230 = 2¹ × 5¹ × 13¹ × 571¹

Step-2: Prime Factorization of 74243

Prime factors of 74243 are 13, 5711. Prime factorization of 74243 in exponential form is:

74243 = 13¹ × 5711¹

Step-3: Factors of 74230

List of positive integer factors of 74230 that divides 74230 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 571, 1142, 2855, 5710, 7423, 14846, 37115

Step-4: Factors of 74243

List of positive integer factors of 74243 that divides 74230 without a remainder.

1, 13, 5711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74230 and 74243. The biggest common factor number is the GCF number.
So the greatest common factor 74230 and 74243 is 13.

Also check out the Least Common Multiple of 74230 and 74243