What is the Greatest Common Factor of 34740 and 34750?

Greatest common factor (GCF) of 34740 and 34750 is 10.

GCF(34740,34750) = 10

We will now calculate the prime factors of 34740 and 34750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34740 and 34750.

How to find the GCF of 34740 and 34750?

We will first find the prime factorization of 34740 and 34750. After we will calculate the factors of 34740 and 34750 and find the biggest common factor number .

Step-1: Prime Factorization of 34740

Prime factors of 34740 are 2, 3, 5, 193. Prime factorization of 34740 in exponential form is:

34740 = 2² × 3² × 5¹ × 193¹

Step-2: 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-3: Factors of 34740

List of positive integer factors of 34740 that divides 34740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 193, 386, 579, 772, 965, 1158, 1737, 1930, 2316, 2895, 3474, 3860, 5790, 6948, 8685, 11580, 17370

Step-4: Factors of 34750

List of positive integer factors of 34750 that divides 34740 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34740 and 34750. The biggest common factor number is the GCF number.
So the greatest common factor 34740 and 34750 is 10.

Also check out the Least Common Multiple of 34740 and 34750