What is the Greatest Common Factor of 34750 and 34762?

Greatest common factor (GCF) of 34750 and 34762 is 2.

GCF(34750,34762) = 2

We will now calculate the prime factors of 34750 and 34762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34750 and 34762.

How to find the GCF of 34750 and 34762?

We will first find the prime factorization of 34750 and 34762. After we will calculate the factors of 34750 and 34762 and find the biggest common factor number .

Step-1: Prime Factorization of 34750

Prime factors of 34750 are 2, 5, 139. Prime factorization of 34750 in exponential form is:

34750 = 2¹ × 5³ × 139¹

Step-2: 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-3: Factors of 34750

List of positive integer factors of 34750 that divides 34750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 139, 250, 278, 695, 1390, 3475, 6950, 17375

Step-4: Factors of 34762

List of positive integer factors of 34762 that divides 34750 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34750 and 34762. The biggest common factor number is the GCF number.
So the greatest common factor 34750 and 34762 is 2.

Also check out the Least Common Multiple of 34750 and 34762