What is the Greatest Common Factor of 42559 and 42577?

Greatest common factor (GCF) of 42559 and 42577 is 1.

GCF(42559,42577) = 1

We will now calculate the prime factors of 42559 and 42577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42559 and 42577.

How to find the GCF of 42559 and 42577?

We will first find the prime factorization of 42559 and 42577. After we will calculate the factors of 42559 and 42577 and find the biggest common factor number .

Step-1: Prime Factorization of 42559

Prime factors of 42559 are 11, 53, 73. Prime factorization of 42559 in exponential form is:

42559 = 11¹ × 53¹ × 73¹

Step-2: Prime Factorization of 42577

Prime factors of 42577 are 42577. Prime factorization of 42577 in exponential form is:

42577 = 42577¹

Step-3: Factors of 42559

List of positive integer factors of 42559 that divides 42559 without a remainder.

1, 11, 53, 73, 583, 803, 3869

Step-4: Factors of 42577

List of positive integer factors of 42577 that divides 42559 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42559 and 42577. The biggest common factor number is the GCF number.
So the greatest common factor 42559 and 42577 is 1.

Also check out the Least Common Multiple of 42559 and 42577