What is the Greatest Common Factor of 14740 and 14750?

Greatest common factor (GCF) of 14740 and 14750 is 10.

GCF(14740,14750) = 10

We will now calculate the prime factors of 14740 and 14750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14740 and 14750.

How to find the GCF of 14740 and 14750?

We will first find the prime factorization of 14740 and 14750. After we will calculate the factors of 14740 and 14750 and find the biggest common factor number .

Step-1: Prime Factorization of 14740

Prime factors of 14740 are 2, 5, 11, 67. Prime factorization of 14740 in exponential form is:

14740 = 2² × 5¹ × 11¹ × 67¹

Step-2: Prime Factorization of 14750

Prime factors of 14750 are 2, 5, 59. Prime factorization of 14750 in exponential form is:

14750 = 2¹ × 5³ × 59¹

Step-3: Factors of 14740

List of positive integer factors of 14740 that divides 14740 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 67, 110, 134, 220, 268, 335, 670, 737, 1340, 1474, 2948, 3685, 7370

Step-4: Factors of 14750

List of positive integer factors of 14750 that divides 14740 without a remainder.

1, 2, 5, 10, 25, 50, 59, 118, 125, 250, 295, 590, 1475, 2950, 7375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14740 and 14750. The biggest common factor number is the GCF number.
So the greatest common factor 14740 and 14750 is 10.

Also check out the Least Common Multiple of 14740 and 14750