What is the Greatest Common Factor of 34762 and 34775?

Greatest common factor (GCF) of 34762 and 34775 is 13.

GCF(34762,34775) = 13

We will now calculate the prime factors of 34762 and 34775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34762 and 34775.

How to find the GCF of 34762 and 34775?

We will first find the prime factorization of 34762 and 34775. After we will calculate the factors of 34762 and 34775 and find the biggest common factor number .

Step-1: Prime Factorization of 34762

Prime factors of 34762 are 2, 7, 13, 191. Prime factorization of 34762 in exponential form is:

34762 = 2¹ × 7¹ × 13¹ × 191¹

Step-2: Prime Factorization of 34775

Prime factors of 34775 are 5, 13, 107. Prime factorization of 34775 in exponential form is:

34775 = 5² × 13¹ × 107¹

Step-3: Factors of 34762

List of positive integer factors of 34762 that divides 34762 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 191, 382, 1337, 2483, 2674, 4966, 17381

Step-4: Factors of 34775

List of positive integer factors of 34775 that divides 34762 without a remainder.

1, 5, 13, 25, 65, 107, 325, 535, 1391, 2675, 6955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34762 and 34775. The biggest common factor number is the GCF number.
So the greatest common factor 34762 and 34775 is 13.

Also check out the Least Common Multiple of 34762 and 34775