What is the Greatest Common Factor of 42536 and 42547?

Greatest common factor (GCF) of 42536 and 42547 is 1.

GCF(42536,42547) = 1

We will now calculate the prime factors of 42536 and 42547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42536 and 42547.

How to find the GCF of 42536 and 42547?

We will first find the prime factorization of 42536 and 42547. After we will calculate the factors of 42536 and 42547 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42547

Prime factors of 42547 are 157, 271. Prime factorization of 42547 in exponential form is:

42547 = 157¹ × 271¹

Step-3: Factors of 42536

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

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

Step-4: Factors of 42547

List of positive integer factors of 42547 that divides 42536 without a remainder.

1, 157, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42536 and 42547. The biggest common factor number is the GCF number.
So the greatest common factor 42536 and 42547 is 1.

Also check out the Least Common Multiple of 42536 and 42547