What is the Greatest Common Factor of 5415 and 5424?
Greatest common factor (GCF) of 5415 and 5424 is 3.
GCF(5415,5424) = 3
We will now calculate the prime factors of 5415 and 5424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5415 and 5424.
How to find the GCF of 5415 and 5424?
We will first find the prime factorization of 5415 and 5424. After we will calculate the factors of 5415 and 5424 and find the biggest common factor number .
Step-1: Prime Factorization of 5415
Prime factors of 5415 are 3, 5, 19. Prime factorization of 5415 in exponential form is:
5415 = 31 × 51 × 192
Step-2: Prime Factorization of 5424
Prime factors of 5424 are 2, 3, 113. Prime factorization of 5424 in exponential form is:
5424 = 24 × 31 × 1131
Step-3: Factors of 5415
List of positive integer factors of 5415 that divides 5415 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805
Step-4: Factors of 5424
List of positive integer factors of 5424 that divides 5415 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5415 and 5424. The biggest common factor number is the GCF number.
So the greatest common factor 5415 and 5424 is 3.
Also check out the Least Common Multiple of 5415 and 5424
Related Greatest Common Factors of 5415
- GCF of 5415 and 5419
- GCF of 5415 and 5420
- GCF of 5415 and 5421
- GCF of 5415 and 5422
- GCF of 5415 and 5423
- GCF of 5415 and 5424
- GCF of 5415 and 5425
- GCF of 5415 and 5426
- GCF of 5415 and 5427
- GCF of 5415 and 5428
- GCF of 5415 and 5429
- GCF of 5415 and 5430
- GCF of 5415 and 5431
- GCF of 5415 and 5432
- GCF of 5415 and 5433
- GCF of 5415 and 5434
- GCF of 5415 and 5435
Related Greatest Common Factors of 5424
- GCF of 5424 and 5428
- GCF of 5424 and 5429
- GCF of 5424 and 5430
- GCF of 5424 and 5431
- GCF of 5424 and 5432
- GCF of 5424 and 5433
- GCF of 5424 and 5434
- GCF of 5424 and 5435
- GCF of 5424 and 5436
- GCF of 5424 and 5437
- GCF of 5424 and 5438
- GCF of 5424 and 5439
- GCF of 5424 and 5440
- GCF of 5424 and 5441
- GCF of 5424 and 5442
- GCF of 5424 and 5443
- GCF of 5424 and 5444