What is the Greatest Common Factor of 16300 and 16304?
Greatest common factor (GCF) of 16300 and 16304 is 4.
GCF(16300,16304) = 4
We will now calculate the prime factors of 16300 and 16304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16300 and 16304.
How to find the GCF of 16300 and 16304?
We will first find the prime factorization of 16300 and 16304. After we will calculate the factors of 16300 and 16304 and find the biggest common factor number .
Step-1: Prime Factorization of 16300
Prime factors of 16300 are 2, 5, 163. Prime factorization of 16300 in exponential form is:
16300 = 22 × 52 × 1631
Step-2: Prime Factorization of 16304
Prime factors of 16304 are 2, 1019. Prime factorization of 16304 in exponential form is:
16304 = 24 × 10191
Step-3: Factors of 16300
List of positive integer factors of 16300 that divides 16300 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 163, 326, 652, 815, 1630, 3260, 4075, 8150
Step-4: Factors of 16304
List of positive integer factors of 16304 that divides 16300 without a remainder.
1, 2, 4, 8, 16, 1019, 2038, 4076, 8152
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16300 and 16304. The biggest common factor number is the GCF number.
So the greatest common factor 16300 and 16304 is 4.
Also check out the Least Common Multiple of 16300 and 16304
Related Greatest Common Factors of 16300
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Related Greatest Common Factors of 16304
- GCF of 16304 and 16308
- GCF of 16304 and 16309
- GCF of 16304 and 16310
- GCF of 16304 and 16311
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- GCF of 16304 and 16315
- GCF of 16304 and 16316
- GCF of 16304 and 16317
- GCF of 16304 and 16318
- GCF of 16304 and 16319
- GCF of 16304 and 16320
- GCF of 16304 and 16321
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