What is the Greatest Common Factor of 20352 and 20364?
Greatest common factor (GCF) of 20352 and 20364 is 12.
GCF(20352,20364) = 12
We will now calculate the prime factors of 20352 and 20364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20352 and 20364.
How to find the GCF of 20352 and 20364?
We will first find the prime factorization of 20352 and 20364. After we will calculate the factors of 20352 and 20364 and find the biggest common factor number .
Step-1: Prime Factorization of 20352
Prime factors of 20352 are 2, 3, 53. Prime factorization of 20352 in exponential form is:
20352 = 27 × 31 × 531
Step-2: Prime Factorization of 20364
Prime factors of 20364 are 2, 3, 1697. Prime factorization of 20364 in exponential form is:
20364 = 22 × 31 × 16971
Step-3: Factors of 20352
List of positive integer factors of 20352 that divides 20352 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 128, 159, 192, 212, 318, 384, 424, 636, 848, 1272, 1696, 2544, 3392, 5088, 6784, 10176
Step-4: Factors of 20364
List of positive integer factors of 20364 that divides 20352 without a remainder.
1, 2, 3, 4, 6, 12, 1697, 3394, 5091, 6788, 10182
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20352 and 20364. The biggest common factor number is the GCF number.
So the greatest common factor 20352 and 20364 is 12.
Also check out the Least Common Multiple of 20352 and 20364
Related Greatest Common Factors of 20352
- GCF of 20352 and 20356
- GCF of 20352 and 20357
- GCF of 20352 and 20358
- GCF of 20352 and 20359
- GCF of 20352 and 20360
- GCF of 20352 and 20361
- GCF of 20352 and 20362
- GCF of 20352 and 20363
- GCF of 20352 and 20364
- GCF of 20352 and 20365
- GCF of 20352 and 20366
- GCF of 20352 and 20367
- GCF of 20352 and 20368
- GCF of 20352 and 20369
- GCF of 20352 and 20370
- GCF of 20352 and 20371
- GCF of 20352 and 20372
Related Greatest Common Factors of 20364
- GCF of 20364 and 20368
- GCF of 20364 and 20369
- GCF of 20364 and 20370
- GCF of 20364 and 20371
- GCF of 20364 and 20372
- GCF of 20364 and 20373
- GCF of 20364 and 20374
- GCF of 20364 and 20375
- GCF of 20364 and 20376
- GCF of 20364 and 20377
- GCF of 20364 and 20378
- GCF of 20364 and 20379
- GCF of 20364 and 20380
- GCF of 20364 and 20381
- GCF of 20364 and 20382
- GCF of 20364 and 20383
- GCF of 20364 and 20384