What is the Greatest Common Factor of 5296 and 5315?
Greatest common factor (GCF) of 5296 and 5315 is 1.
GCF(5296,5315) = 1
We will now calculate the prime factors of 5296 and 5315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5296 and 5315.
How to find the GCF of 5296 and 5315?
We will first find the prime factorization of 5296 and 5315. After we will calculate the factors of 5296 and 5315 and find the biggest common factor number .
Step-1: Prime Factorization of 5296
Prime factors of 5296 are 2, 331. Prime factorization of 5296 in exponential form is:
5296 = 24 × 3311
Step-2: Prime Factorization of 5315
Prime factors of 5315 are 5, 1063. Prime factorization of 5315 in exponential form is:
5315 = 51 × 10631
Step-3: Factors of 5296
List of positive integer factors of 5296 that divides 5296 without a remainder.
1, 2, 4, 8, 16, 331, 662, 1324, 2648
Step-4: Factors of 5315
List of positive integer factors of 5315 that divides 5296 without a remainder.
1, 5, 1063
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5296 and 5315. The biggest common factor number is the GCF number.
So the greatest common factor 5296 and 5315 is 1.
Also check out the Least Common Multiple of 5296 and 5315
Related Greatest Common Factors of 5296
- GCF of 5296 and 5300
- GCF of 5296 and 5301
- GCF of 5296 and 5302
- GCF of 5296 and 5303
- GCF of 5296 and 5304
- GCF of 5296 and 5305
- GCF of 5296 and 5306
- GCF of 5296 and 5307
- GCF of 5296 and 5308
- GCF of 5296 and 5309
- GCF of 5296 and 5310
- GCF of 5296 and 5311
- GCF of 5296 and 5312
- GCF of 5296 and 5313
- GCF of 5296 and 5314
- GCF of 5296 and 5315
- GCF of 5296 and 5316
Related Greatest Common Factors of 5315
- GCF of 5315 and 5319
- GCF of 5315 and 5320
- GCF of 5315 and 5321
- GCF of 5315 and 5322
- GCF of 5315 and 5323
- GCF of 5315 and 5324
- GCF of 5315 and 5325
- GCF of 5315 and 5326
- GCF of 5315 and 5327
- GCF of 5315 and 5328
- GCF of 5315 and 5329
- GCF of 5315 and 5330
- GCF of 5315 and 5331
- GCF of 5315 and 5332
- GCF of 5315 and 5333
- GCF of 5315 and 5334
- GCF of 5315 and 5335