What is the Greatest Common Factor of 83512 and 83532?

Greatest common factor (GCF) of 83512 and 83532 is 4.

GCF(83512,83532) = 4

We will now calculate the prime factors of 83512 and 83532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83512 and 83532.

How to find the GCF of 83512 and 83532?

We will first find the prime factorization of 83512 and 83532. After we will calculate the factors of 83512 and 83532 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 83532

Prime factors of 83532 are 2, 3, 6961. Prime factorization of 83532 in exponential form is:

83532 = 2² × 3¹ × 6961¹

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 83532

List of positive integer factors of 83532 that divides 83512 without a remainder.

1, 2, 3, 4, 6, 12, 6961, 13922, 20883, 27844, 41766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83512 and 83532. The biggest common factor number is the GCF number.
So the greatest common factor 83512 and 83532 is 4.

Also check out the Least Common Multiple of 83512 and 83532