What is the Greatest Common Factor of 28152 and 28169?

Greatest common factor (GCF) of 28152 and 28169 is 17.

GCF(28152,28169) = 17

We will now calculate the prime factors of 28152 and 28169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28152 and 28169.

How to find the GCF of 28152 and 28169?

We will first find the prime factorization of 28152 and 28169. After we will calculate the factors of 28152 and 28169 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 28169

Prime factors of 28169 are 17, 1657. Prime factorization of 28169 in exponential form is:

28169 = 17¹ × 1657¹

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 28169

List of positive integer factors of 28169 that divides 28152 without a remainder.

1, 17, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28152 and 28169. The biggest common factor number is the GCF number.
So the greatest common factor 28152 and 28169 is 17.

Also check out the Least Common Multiple of 28152 and 28169