What is the Greatest Common Factor of 32872 and 32886?

Greatest common factor (GCF) of 32872 and 32886 is 14.

GCF(32872,32886) = 14

We will now calculate the prime factors of 32872 and 32886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32872 and 32886.

How to find the GCF of 32872 and 32886?

We will first find the prime factorization of 32872 and 32886. After we will calculate the factors of 32872 and 32886 and find the biggest common factor number .

Step-1: Prime Factorization of 32872

Prime factors of 32872 are 2, 7, 587. Prime factorization of 32872 in exponential form is:

32872 = 2³ × 7¹ × 587¹

Step-2: Prime Factorization of 32886

Prime factors of 32886 are 2, 3, 7, 29. Prime factorization of 32886 in exponential form is:

32886 = 2¹ × 3⁴ × 7¹ × 29¹

Step-3: Factors of 32872

List of positive integer factors of 32872 that divides 32872 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 587, 1174, 2348, 4109, 4696, 8218, 16436

Step-4: Factors of 32886

List of positive integer factors of 32886 that divides 32872 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 29, 42, 54, 58, 63, 81, 87, 126, 162, 174, 189, 203, 261, 378, 406, 522, 567, 609, 783, 1134, 1218, 1566, 1827, 2349, 3654, 4698, 5481, 10962, 16443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32872 and 32886. The biggest common factor number is the GCF number.
So the greatest common factor 32872 and 32886 is 14.

Also check out the Least Common Multiple of 32872 and 32886