What is the Greatest Common Factor of 5265 and 5283?
Greatest common factor (GCF) of 5265 and 5283 is 9.
GCF(5265,5283) = 9
We will now calculate the prime factors of 5265 and 5283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5265 and 5283.
How to find the GCF of 5265 and 5283?
We will first find the prime factorization of 5265 and 5283. After we will calculate the factors of 5265 and 5283 and find the biggest common factor number .
Step-1: Prime Factorization of 5265
Prime factors of 5265 are 3, 5, 13. Prime factorization of 5265 in exponential form is:
5265 = 34 × 51 × 131
Step-2: Prime Factorization of 5283
Prime factors of 5283 are 3, 587. Prime factorization of 5283 in exponential form is:
5283 = 32 × 5871
Step-3: Factors of 5265
List of positive integer factors of 5265 that divides 5265 without a remainder.
1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755
Step-4: Factors of 5283
List of positive integer factors of 5283 that divides 5265 without a remainder.
1, 3, 9, 587, 1761
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5265 and 5283. The biggest common factor number is the GCF number.
So the greatest common factor 5265 and 5283 is 9.
Also check out the Least Common Multiple of 5265 and 5283
Related Greatest Common Factors of 5265
- GCF of 5265 and 5269
- GCF of 5265 and 5270
- GCF of 5265 and 5271
- GCF of 5265 and 5272
- GCF of 5265 and 5273
- GCF of 5265 and 5274
- GCF of 5265 and 5275
- GCF of 5265 and 5276
- GCF of 5265 and 5277
- GCF of 5265 and 5278
- GCF of 5265 and 5279
- GCF of 5265 and 5280
- GCF of 5265 and 5281
- GCF of 5265 and 5282
- GCF of 5265 and 5283
- GCF of 5265 and 5284
- GCF of 5265 and 5285
Related Greatest Common Factors of 5283
- GCF of 5283 and 5287
- GCF of 5283 and 5288
- GCF of 5283 and 5289
- GCF of 5283 and 5290
- GCF of 5283 and 5291
- GCF of 5283 and 5292
- GCF of 5283 and 5293
- GCF of 5283 and 5294
- GCF of 5283 and 5295
- GCF of 5283 and 5296
- GCF of 5283 and 5297
- GCF of 5283 and 5298
- GCF of 5283 and 5299
- GCF of 5283 and 5300
- GCF of 5283 and 5301
- GCF of 5283 and 5302
- GCF of 5283 and 5303