What is the Greatest Common Factor of 81521 and 81532?

Greatest common factor (GCF) of 81521 and 81532 is 11.

GCF(81521,81532) = 11

We will now calculate the prime factors of 81521 and 81532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81521 and 81532.

How to find the GCF of 81521 and 81532?

We will first find the prime factorization of 81521 and 81532. After we will calculate the factors of 81521 and 81532 and find the biggest common factor number .

Step-1: Prime Factorization of 81521

Prime factors of 81521 are 11, 7411. Prime factorization of 81521 in exponential form is:

81521 = 11¹ × 7411¹

Step-2: Prime Factorization of 81532

Prime factors of 81532 are 2, 11, 17, 109. Prime factorization of 81532 in exponential form is:

81532 = 2² × 11¹ × 17¹ × 109¹

Step-3: Factors of 81521

List of positive integer factors of 81521 that divides 81521 without a remainder.

1, 11, 7411

Step-4: Factors of 81532

List of positive integer factors of 81532 that divides 81521 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 109, 187, 218, 374, 436, 748, 1199, 1853, 2398, 3706, 4796, 7412, 20383, 40766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81521 and 81532. The biggest common factor number is the GCF number.
So the greatest common factor 81521 and 81532 is 11.

Also check out the Least Common Multiple of 81521 and 81532