What is the Greatest Common Factor of 70543 and 70554?

Greatest common factor (GCF) of 70543 and 70554 is 11.

GCF(70543,70554) = 11

We will now calculate the prime factors of 70543 and 70554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70543 and 70554.

How to find the GCF of 70543 and 70554?

We will first find the prime factorization of 70543 and 70554. After we will calculate the factors of 70543 and 70554 and find the biggest common factor number .

Step-1: Prime Factorization of 70543

Prime factors of 70543 are 11, 53. Prime factorization of 70543 in exponential form is:

70543 = 11³ × 53¹

Step-2: Prime Factorization of 70554

Prime factors of 70554 are 2, 3, 11, 1069. Prime factorization of 70554 in exponential form is:

70554 = 2¹ × 3¹ × 11¹ × 1069¹

Step-3: Factors of 70543

List of positive integer factors of 70543 that divides 70543 without a remainder.

1, 11, 53, 121, 583, 1331, 6413

Step-4: Factors of 70554

List of positive integer factors of 70554 that divides 70543 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1069, 2138, 3207, 6414, 11759, 23518, 35277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70543 and 70554. The biggest common factor number is the GCF number.
So the greatest common factor 70543 and 70554 is 11.

Also check out the Least Common Multiple of 70543 and 70554