What is the Greatest Common Factor of 67722 and 67731?

Greatest common factor (GCF) of 67722 and 67731 is 3.

GCF(67722,67731) = 3

We will now calculate the prime factors of 67722 and 67731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67722 and 67731.

How to find the GCF of 67722 and 67731?

We will first find the prime factorization of 67722 and 67731. After we will calculate the factors of 67722 and 67731 and find the biggest common factor number .

Step-1: Prime Factorization of 67722

Prime factors of 67722 are 2, 3, 11287. Prime factorization of 67722 in exponential form is:

67722 = 2¹ × 3¹ × 11287¹

Step-2: Prime Factorization of 67731

Prime factors of 67731 are 3, 107, 211. Prime factorization of 67731 in exponential form is:

67731 = 3¹ × 107¹ × 211¹

Step-3: Factors of 67722

List of positive integer factors of 67722 that divides 67722 without a remainder.

1, 2, 3, 6, 11287, 22574, 33861

Step-4: Factors of 67731

List of positive integer factors of 67731 that divides 67722 without a remainder.

1, 3, 107, 211, 321, 633, 22577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67722 and 67731. The biggest common factor number is the GCF number.
So the greatest common factor 67722 and 67731 is 3.

Also check out the Least Common Multiple of 67722 and 67731