What is the Greatest Common Factor of 67577 and 67588?

Greatest common factor (GCF) of 67577 and 67588 is 1.

GCF(67577,67588) = 1

We will now calculate the prime factors of 67577 and 67588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67577 and 67588.

How to find the GCF of 67577 and 67588?

We will first find the prime factorization of 67577 and 67588. After we will calculate the factors of 67577 and 67588 and find the biggest common factor number .

Step-1: Prime Factorization of 67577

Prime factors of 67577 are 67577. Prime factorization of 67577 in exponential form is:

67577 = 67577¹

Step-2: Prime Factorization of 67588

Prime factors of 67588 are 2, 61, 277. Prime factorization of 67588 in exponential form is:

67588 = 2² × 61¹ × 277¹

Step-3: Factors of 67577

List of positive integer factors of 67577 that divides 67577 without a remainder.

Step-4: Factors of 67588

List of positive integer factors of 67588 that divides 67577 without a remainder.

1, 2, 4, 61, 122, 244, 277, 554, 1108, 16897, 33794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67577 and 67588. The biggest common factor number is the GCF number.
So the greatest common factor 67577 and 67588 is 1.

Also check out the Least Common Multiple of 67577 and 67588