What is the Greatest Common Factor of 70532 and 70543?

Greatest common factor (GCF) of 70532 and 70543 is 11.

GCF(70532,70543) = 11

We will now calculate the prime factors of 70532 and 70543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70532 and 70543.

How to find the GCF of 70532 and 70543?

We will first find the prime factorization of 70532 and 70543. After we will calculate the factors of 70532 and 70543 and find the biggest common factor number .

Step-1: Prime Factorization of 70532

Prime factors of 70532 are 2, 7, 11, 229. Prime factorization of 70532 in exponential form is:

70532 = 2² × 7¹ × 11¹ × 229¹

Step-2: Prime Factorization of 70543

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

70543 = 11³ × 53¹

Step-3: Factors of 70532

List of positive integer factors of 70532 that divides 70532 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 229, 308, 458, 916, 1603, 2519, 3206, 5038, 6412, 10076, 17633, 35266

Step-4: Factors of 70543

List of positive integer factors of 70543 that divides 70532 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70532 and 70543. The biggest common factor number is the GCF number.
So the greatest common factor 70532 and 70543 is 11.

Also check out the Least Common Multiple of 70532 and 70543