What is the Greatest Common Factor of 67714 and 67722?

Greatest common factor (GCF) of 67714 and 67722 is 2.

GCF(67714,67722) = 2

We will now calculate the prime factors of 67714 and 67722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67714 and 67722.

How to find the GCF of 67714 and 67722?

We will first find the prime factorization of 67714 and 67722. After we will calculate the factors of 67714 and 67722 and find the biggest common factor number .

Step-1: Prime Factorization of 67714

Prime factors of 67714 are 2, 33857. Prime factorization of 67714 in exponential form is:

67714 = 2¹ × 33857¹

Step-2: 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-3: Factors of 67714

List of positive integer factors of 67714 that divides 67714 without a remainder.

1, 2, 33857

Step-4: Factors of 67722

List of positive integer factors of 67722 that divides 67714 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67714 and 67722. The biggest common factor number is the GCF number.
So the greatest common factor 67714 and 67722 is 2.

Also check out the Least Common Multiple of 67714 and 67722