What is the Greatest Common Factor of 42548 and 42559?

Greatest common factor (GCF) of 42548 and 42559 is 11.

GCF(42548,42559) = 11

We will now calculate the prime factors of 42548 and 42559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42548 and 42559.

How to find the GCF of 42548 and 42559?

We will first find the prime factorization of 42548 and 42559. After we will calculate the factors of 42548 and 42559 and find the biggest common factor number .

Step-1: Prime Factorization of 42548

Prime factors of 42548 are 2, 11, 967. Prime factorization of 42548 in exponential form is:

42548 = 2² × 11¹ × 967¹

Step-2: 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-3: Factors of 42548

List of positive integer factors of 42548 that divides 42548 without a remainder.

1, 2, 4, 11, 22, 44, 967, 1934, 3868, 10637, 21274

Step-4: Factors of 42559

List of positive integer factors of 42559 that divides 42548 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42548 and 42559. The biggest common factor number is the GCF number.
So the greatest common factor 42548 and 42559 is 11.

Also check out the Least Common Multiple of 42548 and 42559