What is the Greatest Common Factor of 16352 and 16356?
Greatest common factor (GCF) of 16352 and 16356 is 4.
GCF(16352,16356) = 4
We will now calculate the prime factors of 16352 and 16356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16352 and 16356.
How to find the GCF of 16352 and 16356?
We will first find the prime factorization of 16352 and 16356. After we will calculate the factors of 16352 and 16356 and find the biggest common factor number .
Step-1: Prime Factorization of 16352
Prime factors of 16352 are 2, 7, 73. Prime factorization of 16352 in exponential form is:
16352 = 25 × 71 × 731
Step-2: Prime Factorization of 16356
Prime factors of 16356 are 2, 3, 29, 47. Prime factorization of 16356 in exponential form is:
16356 = 22 × 31 × 291 × 471
Step-3: Factors of 16352
List of positive integer factors of 16352 that divides 16352 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 73, 112, 146, 224, 292, 511, 584, 1022, 1168, 2044, 2336, 4088, 8176
Step-4: Factors of 16356
List of positive integer factors of 16356 that divides 16352 without a remainder.
1, 2, 3, 4, 6, 12, 29, 47, 58, 87, 94, 116, 141, 174, 188, 282, 348, 564, 1363, 2726, 4089, 5452, 8178
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16352 and 16356. The biggest common factor number is the GCF number.
So the greatest common factor 16352 and 16356 is 4.
Also check out the Least Common Multiple of 16352 and 16356
Related Greatest Common Factors of 16352
- GCF of 16352 and 16356
- GCF of 16352 and 16357
- GCF of 16352 and 16358
- GCF of 16352 and 16359
- GCF of 16352 and 16360
- GCF of 16352 and 16361
- GCF of 16352 and 16362
- GCF of 16352 and 16363
- GCF of 16352 and 16364
- GCF of 16352 and 16365
- GCF of 16352 and 16366
- GCF of 16352 and 16367
- GCF of 16352 and 16368
- GCF of 16352 and 16369
- GCF of 16352 and 16370
- GCF of 16352 and 16371
- GCF of 16352 and 16372
Related Greatest Common Factors of 16356
- GCF of 16356 and 16360
- GCF of 16356 and 16361
- GCF of 16356 and 16362
- GCF of 16356 and 16363
- GCF of 16356 and 16364
- GCF of 16356 and 16365
- GCF of 16356 and 16366
- GCF of 16356 and 16367
- GCF of 16356 and 16368
- GCF of 16356 and 16369
- GCF of 16356 and 16370
- GCF of 16356 and 16371
- GCF of 16356 and 16372
- GCF of 16356 and 16373
- GCF of 16356 and 16374
- GCF of 16356 and 16375
- GCF of 16356 and 16376