What is the Greatest Common Factor of 28512 and 28528?
Greatest common factor (GCF) of 28512 and 28528 is 16.
GCF(28512,28528) = 16
We will now calculate the prime factors of 28512 and 28528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28512 and 28528.
How to find the GCF of 28512 and 28528?
We will first find the prime factorization of 28512 and 28528. After we will calculate the factors of 28512 and 28528 and find the biggest common factor number .
Step-1: Prime Factorization of 28512
Prime factors of 28512 are 2, 3, 11. Prime factorization of 28512 in exponential form is:
28512 = 25 × 34 × 111
Step-2: Prime Factorization of 28528
Prime factors of 28528 are 2, 1783. Prime factorization of 28528 in exponential form is:
28528 = 24 × 17831
Step-3: Factors of 28512
List of positive integer factors of 28512 that divides 28512 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 81, 88, 96, 99, 108, 132, 144, 162, 176, 198, 216, 264, 288, 297, 324, 352, 396, 432, 528, 594, 648, 792, 864, 891, 1056, 1188, 1296, 1584, 1782, 2376, 2592, 3168, 3564, 4752, 7128, 9504, 14256
Step-4: Factors of 28528
List of positive integer factors of 28528 that divides 28512 without a remainder.
1, 2, 4, 8, 16, 1783, 3566, 7132, 14264
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 28512 and 28528. The biggest common factor number is the GCF number.
So the greatest common factor 28512 and 28528 is 16.
Also check out the Least Common Multiple of 28512 and 28528
Related Greatest Common Factors of 28512
- GCF of 28512 and 28516
- GCF of 28512 and 28517
- GCF of 28512 and 28518
- GCF of 28512 and 28519
- GCF of 28512 and 28520
- GCF of 28512 and 28521
- GCF of 28512 and 28522
- GCF of 28512 and 28523
- GCF of 28512 and 28524
- GCF of 28512 and 28525
- GCF of 28512 and 28526
- GCF of 28512 and 28527
- GCF of 28512 and 28528
- GCF of 28512 and 28529
- GCF of 28512 and 28530
- GCF of 28512 and 28531
- GCF of 28512 and 28532
Related Greatest Common Factors of 28528
- GCF of 28528 and 28532
- GCF of 28528 and 28533
- GCF of 28528 and 28534
- GCF of 28528 and 28535
- GCF of 28528 and 28536
- GCF of 28528 and 28537
- GCF of 28528 and 28538
- GCF of 28528 and 28539
- GCF of 28528 and 28540
- GCF of 28528 and 28541
- GCF of 28528 and 28542
- GCF of 28528 and 28543
- GCF of 28528 and 28544
- GCF of 28528 and 28545
- GCF of 28528 and 28546
- GCF of 28528 and 28547
- GCF of 28528 and 28548