What is the Greatest Common Factor of 25696 and 25714?
Greatest common factor (GCF) of 25696 and 25714 is 2.
GCF(25696,25714) = 2
We will now calculate the prime factors of 25696 and 25714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25696 and 25714.
How to find the GCF of 25696 and 25714?
We will first find the prime factorization of 25696 and 25714. After we will calculate the factors of 25696 and 25714 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 25714
Prime factors of 25714 are 2, 13, 23, 43. Prime factorization of 25714 in exponential form is:
25714 = 21 × 131 × 231 × 431
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 25714
List of positive integer factors of 25714 that divides 25696 without a remainder.
1, 2, 13, 23, 26, 43, 46, 86, 299, 559, 598, 989, 1118, 1978, 12857
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25696 and 25714. The biggest common factor number is the GCF number.
So the greatest common factor 25696 and 25714 is 2.
Also check out the Least Common Multiple of 25696 and 25714
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