What is the Greatest Common Factor of 15456 and 15470?
Greatest common factor (GCF) of 15456 and 15470 is 14.
GCF(15456,15470) = 14
We will now calculate the prime factors of 15456 and 15470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15456 and 15470.
How to find the GCF of 15456 and 15470?
We will first find the prime factorization of 15456 and 15470. After we will calculate the factors of 15456 and 15470 and find the biggest common factor number .
Step-1: Prime Factorization of 15456
Prime factors of 15456 are 2, 3, 7, 23. Prime factorization of 15456 in exponential form is:
15456 = 25 × 31 × 71 × 231
Step-2: Prime Factorization of 15470
Prime factors of 15470 are 2, 5, 7, 13, 17. Prime factorization of 15470 in exponential form is:
15470 = 21 × 51 × 71 × 131 × 171
Step-3: Factors of 15456
List of positive integer factors of 15456 that divides 15456 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 32, 42, 46, 48, 56, 69, 84, 92, 96, 112, 138, 161, 168, 184, 224, 276, 322, 336, 368, 483, 552, 644, 672, 736, 966, 1104, 1288, 1932, 2208, 2576, 3864, 5152, 7728
Step-4: Factors of 15470
List of positive integer factors of 15470 that divides 15456 without a remainder.
1, 2, 5, 7, 10, 13, 14, 17, 26, 34, 35, 65, 70, 85, 91, 119, 130, 170, 182, 221, 238, 442, 455, 595, 910, 1105, 1190, 1547, 2210, 3094, 7735
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15456 and 15470. The biggest common factor number is the GCF number.
So the greatest common factor 15456 and 15470 is 14.
Also check out the Least Common Multiple of 15456 and 15470
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Related Greatest Common Factors of 15470
- GCF of 15470 and 15474
- GCF of 15470 and 15475
- GCF of 15470 and 15476
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- GCF of 15470 and 15480
- GCF of 15470 and 15481
- GCF of 15470 and 15482
- GCF of 15470 and 15483
- GCF of 15470 and 15484
- GCF of 15470 and 15485
- GCF of 15470 and 15486
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