What is the Greatest Common Factor of 42592 and 42609?

Greatest common factor (GCF) of 42592 and 42609 is 1.

GCF(42592,42609) = 1

We will now calculate the prime factors of 42592 and 42609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42592 and 42609.

How to find the GCF of 42592 and 42609?

We will first find the prime factorization of 42592 and 42609. After we will calculate the factors of 42592 and 42609 and find the biggest common factor number .

Step-1: Prime Factorization of 42592

Prime factors of 42592 are 2, 11. Prime factorization of 42592 in exponential form is:

42592 = 2⁵ × 11³

Step-2: Prime Factorization of 42609

Prime factors of 42609 are 3, 7, 2029. Prime factorization of 42609 in exponential form is:

42609 = 3¹ × 7¹ × 2029¹

Step-3: Factors of 42592

List of positive integer factors of 42592 that divides 42592 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1331, 1936, 2662, 3872, 5324, 10648, 21296

Step-4: Factors of 42609

List of positive integer factors of 42609 that divides 42592 without a remainder.

1, 3, 7, 21, 2029, 6087, 14203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42592 and 42609. The biggest common factor number is the GCF number.
So the greatest common factor 42592 and 42609 is 1.

Also check out the Least Common Multiple of 42592 and 42609