What is the Greatest Common Factor of 27716 and 27725?
Greatest common factor (GCF) of 27716 and 27725 is 1.
GCF(27716,27725) = 1
We will now calculate the prime factors of 27716 and 27725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27716 and 27725.
How to find the GCF of 27716 and 27725?
We will first find the prime factorization of 27716 and 27725. After we will calculate the factors of 27716 and 27725 and find the biggest common factor number .
Step-1: Prime Factorization of 27716
Prime factors of 27716 are 2, 13, 41. Prime factorization of 27716 in exponential form is:
27716 = 22 × 132 × 411
Step-2: Prime Factorization of 27725
Prime factors of 27725 are 5, 1109. Prime factorization of 27725 in exponential form is:
27725 = 52 × 11091
Step-3: Factors of 27716
List of positive integer factors of 27716 that divides 27716 without a remainder.
1, 2, 4, 13, 26, 41, 52, 82, 164, 169, 338, 533, 676, 1066, 2132, 6929, 13858
Step-4: Factors of 27725
List of positive integer factors of 27725 that divides 27716 without a remainder.
1, 5, 25, 1109, 5545
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27716 and 27725. The biggest common factor number is the GCF number.
So the greatest common factor 27716 and 27725 is 1.
Also check out the Least Common Multiple of 27716 and 27725
Related Greatest Common Factors of 27716
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- GCF of 27716 and 27727
- GCF of 27716 and 27728
- GCF of 27716 and 27729
- GCF of 27716 and 27730
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- GCF of 27716 and 27732
- GCF of 27716 and 27733
- GCF of 27716 and 27734
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Related Greatest Common Factors of 27725
- GCF of 27725 and 27729
- GCF of 27725 and 27730
- GCF of 27725 and 27731
- GCF of 27725 and 27732
- GCF of 27725 and 27733
- GCF of 27725 and 27734
- GCF of 27725 and 27735
- GCF of 27725 and 27736
- GCF of 27725 and 27737
- GCF of 27725 and 27738
- GCF of 27725 and 27739
- GCF of 27725 and 27740
- GCF of 27725 and 27741
- GCF of 27725 and 27742
- GCF of 27725 and 27743
- GCF of 27725 and 27744
- GCF of 27725 and 27745