What is the Greatest Common Factor of 67727 and 67733?

Greatest common factor (GCF) of 67727 and 67733 is 1.

GCF(67727,67733) = 1

We will now calculate the prime factors of 67727 and 67733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67727 and 67733.

How to find the GCF of 67727 and 67733?

We will first find the prime factorization of 67727 and 67733. After we will calculate the factors of 67727 and 67733 and find the biggest common factor number .

Step-1: Prime Factorization of 67727

Prime factors of 67727 are 11, 47, 131. Prime factorization of 67727 in exponential form is:

67727 = 11¹ × 47¹ × 131¹

Step-2: Prime Factorization of 67733

Prime factors of 67733 are 67733. Prime factorization of 67733 in exponential form is:

67733 = 67733¹

Step-3: Factors of 67727

List of positive integer factors of 67727 that divides 67727 without a remainder.

1, 11, 47, 131, 517, 1441, 6157

Step-4: Factors of 67733

List of positive integer factors of 67733 that divides 67727 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67727 and 67733. The biggest common factor number is the GCF number.
So the greatest common factor 67727 and 67733 is 1.

Also check out the Least Common Multiple of 67727 and 67733