What is the Greatest Common Factor of 68754 and 68763?

Greatest common factor (GCF) of 68754 and 68763 is 3.

GCF(68754,68763) = 3

We will now calculate the prime factors of 68754 and 68763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68754 and 68763.

How to find the GCF of 68754 and 68763?

We will first find the prime factorization of 68754 and 68763. After we will calculate the factors of 68754 and 68763 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 68763

Prime factors of 68763 are 3, 22921. Prime factorization of 68763 in exponential form is:

68763 = 3¹ × 22921¹

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 68763

List of positive integer factors of 68763 that divides 68754 without a remainder.

1, 3, 22921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68754 and 68763. The biggest common factor number is the GCF number.
So the greatest common factor 68754 and 68763 is 3.

Also check out the Least Common Multiple of 68754 and 68763