What is the Greatest Common Factor of 68740 and 68754?

Greatest common factor (GCF) of 68740 and 68754 is 14.

GCF(68740,68754) = 14

We will now calculate the prime factors of 68740 and 68754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68740 and 68754.

How to find the GCF of 68740 and 68754?

We will first find the prime factorization of 68740 and 68754. After we will calculate the factors of 68740 and 68754 and find the biggest common factor number .

Step-1: Prime Factorization of 68740

Prime factors of 68740 are 2, 5, 7, 491. Prime factorization of 68740 in exponential form is:

68740 = 2² × 5¹ × 7¹ × 491¹

Step-2: Prime Factorization of 68754

Prime factors of 68754 are 2, 3, 7, 1637. Prime factorization of 68754 in exponential form is:

68754 = 2¹ × 3¹ × 7¹ × 1637¹

Step-3: Factors of 68740

List of positive integer factors of 68740 that divides 68740 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 491, 982, 1964, 2455, 3437, 4910, 6874, 9820, 13748, 17185, 34370

Step-4: Factors of 68754

List of positive integer factors of 68754 that divides 68740 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1637, 3274, 4911, 9822, 11459, 22918, 34377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68740 and 68754. The biggest common factor number is the GCF number.
So the greatest common factor 68740 and 68754 is 14.

Also check out the Least Common Multiple of 68740 and 68754