What is the Greatest Common Factor of 34744 and 34751?

Greatest common factor (GCF) of 34744 and 34751 is 1.

GCF(34744,34751) = 1

We will now calculate the prime factors of 34744 and 34751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34744 and 34751.

How to find the GCF of 34744 and 34751?

We will first find the prime factorization of 34744 and 34751. After we will calculate the factors of 34744 and 34751 and find the biggest common factor number .

Step-1: Prime Factorization of 34744

Prime factors of 34744 are 2, 43, 101. Prime factorization of 34744 in exponential form is:

34744 = 2³ × 43¹ × 101¹

Step-2: Prime Factorization of 34751

Prime factors of 34751 are 19, 31, 59. Prime factorization of 34751 in exponential form is:

34751 = 19¹ × 31¹ × 59¹

Step-3: Factors of 34744

List of positive integer factors of 34744 that divides 34744 without a remainder.

1, 2, 4, 8, 43, 86, 101, 172, 202, 344, 404, 808, 4343, 8686, 17372

Step-4: Factors of 34751

List of positive integer factors of 34751 that divides 34744 without a remainder.

1, 19, 31, 59, 589, 1121, 1829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34744 and 34751. The biggest common factor number is the GCF number.
So the greatest common factor 34744 and 34751 is 1.

Also check out the Least Common Multiple of 34744 and 34751