What is the Greatest Common Factor of 28152 and 28164?

Greatest common factor (GCF) of 28152 and 28164 is 12.

GCF(28152,28164) = 12

We will now calculate the prime factors of 28152 and 28164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28152 and 28164.

How to find the GCF of 28152 and 28164?

We will first find the prime factorization of 28152 and 28164. After we will calculate the factors of 28152 and 28164 and find the biggest common factor number .

Step-1: Prime Factorization of 28152

Prime factors of 28152 are 2, 3, 17, 23. Prime factorization of 28152 in exponential form is:

28152 = 2³ × 3² × 17¹ × 23¹

Step-2: Prime Factorization of 28164

Prime factors of 28164 are 2, 3, 2347. Prime factorization of 28164 in exponential form is:

28164 = 2² × 3¹ × 2347¹

Step-3: Factors of 28152

List of positive integer factors of 28152 that divides 28152 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 23, 24, 34, 36, 46, 51, 68, 69, 72, 92, 102, 136, 138, 153, 184, 204, 207, 276, 306, 391, 408, 414, 552, 612, 782, 828, 1173, 1224, 1564, 1656, 2346, 3128, 3519, 4692, 7038, 9384, 14076

Step-4: Factors of 28164

List of positive integer factors of 28164 that divides 28152 without a remainder.

1, 2, 3, 4, 6, 12, 2347, 4694, 7041, 9388, 14082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28152 and 28164. The biggest common factor number is the GCF number.
So the greatest common factor 28152 and 28164 is 12.

Also check out the Least Common Multiple of 28152 and 28164