What is the Greatest Common Factor of 83512 and 83523?

Greatest common factor (GCF) of 83512 and 83523 is 11.

GCF(83512,83523) = 11

We will now calculate the prime factors of 83512 and 83523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83512 and 83523.

How to find the GCF of 83512 and 83523?

We will first find the prime factorization of 83512 and 83523. After we will calculate the factors of 83512 and 83523 and find the biggest common factor number .

Step-1: Prime Factorization of 83512

Prime factors of 83512 are 2, 11, 13, 73. Prime factorization of 83512 in exponential form is:

83512 = 2³ × 11¹ × 13¹ × 73¹

Step-2: Prime Factorization of 83523

Prime factors of 83523 are 3, 11, 2531. Prime factorization of 83523 in exponential form is:

83523 = 3¹ × 11¹ × 2531¹

Step-3: Factors of 83512

List of positive integer factors of 83512 that divides 83512 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 73, 88, 104, 143, 146, 286, 292, 572, 584, 803, 949, 1144, 1606, 1898, 3212, 3796, 6424, 7592, 10439, 20878, 41756

Step-4: Factors of 83523

List of positive integer factors of 83523 that divides 83512 without a remainder.

1, 3, 11, 33, 2531, 7593, 27841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83512 and 83523. The biggest common factor number is the GCF number.
So the greatest common factor 83512 and 83523 is 11.

Also check out the Least Common Multiple of 83512 and 83523