What is the Greatest Common Factor of 68775 and 68787?

Greatest common factor (GCF) of 68775 and 68787 is 3.

GCF(68775,68787) = 3

We will now calculate the prime factors of 68775 and 68787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68775 and 68787.

How to find the GCF of 68775 and 68787?

We will first find the prime factorization of 68775 and 68787. After we will calculate the factors of 68775 and 68787 and find the biggest common factor number .

Step-1: Prime Factorization of 68775

Prime factors of 68775 are 3, 5, 7, 131. Prime factorization of 68775 in exponential form is:

68775 = 3¹ × 5² × 7¹ × 131¹

Step-2: Prime Factorization of 68787

Prime factors of 68787 are 3, 7643. Prime factorization of 68787 in exponential form is:

68787 = 3² × 7643¹

Step-3: Factors of 68775

List of positive integer factors of 68775 that divides 68775 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 131, 175, 393, 525, 655, 917, 1965, 2751, 3275, 4585, 9825, 13755, 22925

Step-4: Factors of 68787

List of positive integer factors of 68787 that divides 68775 without a remainder.

1, 3, 9, 7643, 22929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68775 and 68787. The biggest common factor number is the GCF number.
So the greatest common factor 68775 and 68787 is 3.

Also check out the Least Common Multiple of 68775 and 68787