What is the Greatest Common Factor of 25696 and 25704?
Greatest common factor (GCF) of 25696 and 25704 is 8.
GCF(25696,25704) = 8
We will now calculate the prime factors of 25696 and 25704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25696 and 25704.
How to find the GCF of 25696 and 25704?
We will first find the prime factorization of 25696 and 25704. After we will calculate the factors of 25696 and 25704 and find the biggest common factor number .
Step-1: Prime Factorization of 25696
Prime factors of 25696 are 2, 11, 73. Prime factorization of 25696 in exponential form is:
25696 = 25 × 111 × 731
Step-2: Prime Factorization of 25704
Prime factors of 25704 are 2, 3, 7, 17. Prime factorization of 25704 in exponential form is:
25704 = 23 × 33 × 71 × 171
Step-3: Factors of 25696
List of positive integer factors of 25696 that divides 25696 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 73, 88, 146, 176, 292, 352, 584, 803, 1168, 1606, 2336, 3212, 6424, 12848
Step-4: Factors of 25704
List of positive integer factors of 25704 that divides 25696 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 21, 24, 27, 28, 34, 36, 42, 51, 54, 56, 63, 68, 72, 84, 102, 108, 119, 126, 136, 153, 168, 189, 204, 216, 238, 252, 306, 357, 378, 408, 459, 476, 504, 612, 714, 756, 918, 952, 1071, 1224, 1428, 1512, 1836, 2142, 2856, 3213, 3672, 4284, 6426, 8568, 12852
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25696 and 25704. The biggest common factor number is the GCF number.
So the greatest common factor 25696 and 25704 is 8.
Also check out the Least Common Multiple of 25696 and 25704
Related Greatest Common Factors of 25696
- GCF of 25696 and 25700
- GCF of 25696 and 25701
- GCF of 25696 and 25702
- GCF of 25696 and 25703
- GCF of 25696 and 25704
- GCF of 25696 and 25705
- GCF of 25696 and 25706
- GCF of 25696 and 25707
- GCF of 25696 and 25708
- GCF of 25696 and 25709
- GCF of 25696 and 25710
- GCF of 25696 and 25711
- GCF of 25696 and 25712
- GCF of 25696 and 25713
- GCF of 25696 and 25714
- GCF of 25696 and 25715
- GCF of 25696 and 25716
Related Greatest Common Factors of 25704
- GCF of 25704 and 25708
- GCF of 25704 and 25709
- GCF of 25704 and 25710
- GCF of 25704 and 25711
- GCF of 25704 and 25712
- GCF of 25704 and 25713
- GCF of 25704 and 25714
- GCF of 25704 and 25715
- GCF of 25704 and 25716
- GCF of 25704 and 25717
- GCF of 25704 and 25718
- GCF of 25704 and 25719
- GCF of 25704 and 25720
- GCF of 25704 and 25721
- GCF of 25704 and 25722
- GCF of 25704 and 25723
- GCF of 25704 and 25724