What is the Greatest Common Factor of 5325 and 5336?
Greatest common factor (GCF) of 5325 and 5336 is 1.
GCF(5325,5336) = 1
We will now calculate the prime factors of 5325 and 5336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5325 and 5336.
How to find the GCF of 5325 and 5336?
We will first find the prime factorization of 5325 and 5336. After we will calculate the factors of 5325 and 5336 and find the biggest common factor number .
Step-1: Prime Factorization of 5325
Prime factors of 5325 are 3, 5, 71. Prime factorization of 5325 in exponential form is:
5325 = 31 × 52 × 711
Step-2: Prime Factorization of 5336
Prime factors of 5336 are 2, 23, 29. Prime factorization of 5336 in exponential form is:
5336 = 23 × 231 × 291
Step-3: Factors of 5325
List of positive integer factors of 5325 that divides 5325 without a remainder.
1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775
Step-4: Factors of 5336
List of positive integer factors of 5336 that divides 5325 without a remainder.
1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5325 and 5336. The biggest common factor number is the GCF number.
So the greatest common factor 5325 and 5336 is 1.
Also check out the Least Common Multiple of 5325 and 5336
Related Greatest Common Factors of 5325
- GCF of 5325 and 5329
- GCF of 5325 and 5330
- GCF of 5325 and 5331
- GCF of 5325 and 5332
- GCF of 5325 and 5333
- GCF of 5325 and 5334
- GCF of 5325 and 5335
- GCF of 5325 and 5336
- GCF of 5325 and 5337
- GCF of 5325 and 5338
- GCF of 5325 and 5339
- GCF of 5325 and 5340
- GCF of 5325 and 5341
- GCF of 5325 and 5342
- GCF of 5325 and 5343
- GCF of 5325 and 5344
- GCF of 5325 and 5345
Related Greatest Common Factors of 5336
- GCF of 5336 and 5340
- GCF of 5336 and 5341
- GCF of 5336 and 5342
- GCF of 5336 and 5343
- GCF of 5336 and 5344
- GCF of 5336 and 5345
- GCF of 5336 and 5346
- GCF of 5336 and 5347
- GCF of 5336 and 5348
- GCF of 5336 and 5349
- GCF of 5336 and 5350
- GCF of 5336 and 5351
- GCF of 5336 and 5352
- GCF of 5336 and 5353
- GCF of 5336 and 5354
- GCF of 5336 and 5355
- GCF of 5336 and 5356