What is the Greatest Common Factor of 68754 and 68769?

Greatest common factor (GCF) of 68754 and 68769 is 3.

GCF(68754,68769) = 3

We will now calculate the prime factors of 68754 and 68769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68754 and 68769.

How to find the GCF of 68754 and 68769?

We will first find the prime factorization of 68754 and 68769. After we will calculate the factors of 68754 and 68769 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68769

Prime factors of 68769 are 3, 283. Prime factorization of 68769 in exponential form is:

68769 = 3⁵ × 283¹

Step-3: Factors of 68754

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

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

Step-4: Factors of 68769

List of positive integer factors of 68769 that divides 68754 without a remainder.

1, 3, 9, 27, 81, 243, 283, 849, 2547, 7641, 22923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68754 and 68769. The biggest common factor number is the GCF number.
So the greatest common factor 68754 and 68769 is 3.

Also check out the Least Common Multiple of 68754 and 68769