What is the Greatest Common Factor of 57546 and 57564?
Greatest common factor (GCF) of 57546 and 57564 is 18.
GCF(57546,57564) = 18
We will now calculate the prime factors of 57546 and 57564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57546 and 57564.
How to find the GCF of 57546 and 57564?
We will first find the prime factorization of 57546 and 57564. After we will calculate the factors of 57546 and 57564 and find the biggest common factor number .
Step-1: Prime Factorization of 57546
Prime factors of 57546 are 2, 3, 23, 139. Prime factorization of 57546 in exponential form is:
57546 = 21 × 32 × 231 × 1391
Step-2: Prime Factorization of 57564
Prime factors of 57564 are 2, 3, 13, 41. Prime factorization of 57564 in exponential form is:
57564 = 22 × 33 × 131 × 411
Step-3: Factors of 57546
List of positive integer factors of 57546 that divides 57546 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 139, 207, 278, 414, 417, 834, 1251, 2502, 3197, 6394, 9591, 19182, 28773
Step-4: Factors of 57564
List of positive integer factors of 57564 that divides 57546 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 41, 52, 54, 78, 82, 108, 117, 123, 156, 164, 234, 246, 351, 369, 468, 492, 533, 702, 738, 1066, 1107, 1404, 1476, 1599, 2132, 2214, 3198, 4428, 4797, 6396, 9594, 14391, 19188, 28782
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 57546 and 57564. The biggest common factor number is the GCF number.
So the greatest common factor 57546 and 57564 is 18.
Also check out the Least Common Multiple of 57546 and 57564
Related Greatest Common Factors of 57546
- GCF of 57546 and 57550
- GCF of 57546 and 57551
- GCF of 57546 and 57552
- GCF of 57546 and 57553
- GCF of 57546 and 57554
- GCF of 57546 and 57555
- GCF of 57546 and 57556
- GCF of 57546 and 57557
- GCF of 57546 and 57558
- GCF of 57546 and 57559
- GCF of 57546 and 57560
- GCF of 57546 and 57561
- GCF of 57546 and 57562
- GCF of 57546 and 57563
- GCF of 57546 and 57564
- GCF of 57546 and 57565
- GCF of 57546 and 57566
Related Greatest Common Factors of 57564
- GCF of 57564 and 57568
- GCF of 57564 and 57569
- GCF of 57564 and 57570
- GCF of 57564 and 57571
- GCF of 57564 and 57572
- GCF of 57564 and 57573
- GCF of 57564 and 57574
- GCF of 57564 and 57575
- GCF of 57564 and 57576
- GCF of 57564 and 57577
- GCF of 57564 and 57578
- GCF of 57564 and 57579
- GCF of 57564 and 57580
- GCF of 57564 and 57581
- GCF of 57564 and 57582
- GCF of 57564 and 57583
- GCF of 57564 and 57584