What is the Greatest Common Factor of 42537 and 42548?

Greatest common factor (GCF) of 42537 and 42548 is 11.

GCF(42537,42548) = 11

We will now calculate the prime factors of 42537 and 42548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42537 and 42548.

How to find the GCF of 42537 and 42548?

We will first find the prime factorization of 42537 and 42548. After we will calculate the factors of 42537 and 42548 and find the biggest common factor number .

Step-1: Prime Factorization of 42537

Prime factors of 42537 are 3, 11, 1289. Prime factorization of 42537 in exponential form is:

42537 = 3¹ × 11¹ × 1289¹

Step-2: 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-3: Factors of 42537

List of positive integer factors of 42537 that divides 42537 without a remainder.

1, 3, 11, 33, 1289, 3867, 14179

Step-4: Factors of 42548

List of positive integer factors of 42548 that divides 42537 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42537 and 42548. The biggest common factor number is the GCF number.
So the greatest common factor 42537 and 42548 is 11.

Also check out the Least Common Multiple of 42537 and 42548