What is the Greatest Common Factor of 38423 and 38434?

Greatest common factor (GCF) of 38423 and 38434 is 11.

GCF(38423,38434) = 11

We will now calculate the prime factors of 38423 and 38434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38423 and 38434.

How to find the GCF of 38423 and 38434?

We will first find the prime factorization of 38423 and 38434. After we will calculate the factors of 38423 and 38434 and find the biggest common factor number .

Step-1: Prime Factorization of 38423

Prime factors of 38423 are 7, 11, 499. Prime factorization of 38423 in exponential form is:

38423 = 7¹ × 11¹ × 499¹

Step-2: Prime Factorization of 38434

Prime factors of 38434 are 2, 11, 1747. Prime factorization of 38434 in exponential form is:

38434 = 2¹ × 11¹ × 1747¹

Step-3: Factors of 38423

List of positive integer factors of 38423 that divides 38423 without a remainder.

1, 7, 11, 77, 499, 3493, 5489

Step-4: Factors of 38434

List of positive integer factors of 38434 that divides 38423 without a remainder.

1, 2, 11, 22, 1747, 3494, 19217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38423 and 38434. The biggest common factor number is the GCF number.
So the greatest common factor 38423 and 38434 is 11.

Also check out the Least Common Multiple of 38423 and 38434