What is the Greatest Common Factor of 42523 and 42536?

Greatest common factor (GCF) of 42523 and 42536 is 13.

GCF(42523,42536) = 13

We will now calculate the prime factors of 42523 and 42536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42523 and 42536.

How to find the GCF of 42523 and 42536?

We will first find the prime factorization of 42523 and 42536. After we will calculate the factors of 42523 and 42536 and find the biggest common factor number .

Step-1: Prime Factorization of 42523

Prime factors of 42523 are 13, 3271. Prime factorization of 42523 in exponential form is:

42523 = 13¹ × 3271¹

Step-2: Prime Factorization of 42536

Prime factors of 42536 are 2, 13, 409. Prime factorization of 42536 in exponential form is:

42536 = 2³ × 13¹ × 409¹

Step-3: Factors of 42523

List of positive integer factors of 42523 that divides 42523 without a remainder.

1, 13, 3271

Step-4: Factors of 42536

List of positive integer factors of 42536 that divides 42523 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 409, 818, 1636, 3272, 5317, 10634, 21268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42523 and 42536. The biggest common factor number is the GCF number.
So the greatest common factor 42523 and 42536 is 13.

Also check out the Least Common Multiple of 42523 and 42536