What is the Greatest Common Factor of 5702 and 5709?
Greatest common factor (GCF) of 5702 and 5709 is 1.
GCF(5702,5709) = 1
We will now calculate the prime factors of 5702 and 5709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5702 and 5709.
How to find the GCF of 5702 and 5709?
We will first find the prime factorization of 5702 and 5709. After we will calculate the factors of 5702 and 5709 and find the biggest common factor number .
Step-1: Prime Factorization of 5702
Prime factors of 5702 are 2, 2851. Prime factorization of 5702 in exponential form is:
5702 = 21 × 28511
Step-2: Prime Factorization of 5709
Prime factors of 5709 are 3, 11, 173. Prime factorization of 5709 in exponential form is:
5709 = 31 × 111 × 1731
Step-3: Factors of 5702
List of positive integer factors of 5702 that divides 5702 without a remainder.
1, 2, 2851
Step-4: Factors of 5709
List of positive integer factors of 5709 that divides 5702 without a remainder.
1, 3, 11, 33, 173, 519, 1903
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5702 and 5709. The biggest common factor number is the GCF number.
So the greatest common factor 5702 and 5709 is 1.
Also check out the Least Common Multiple of 5702 and 5709
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Related Greatest Common Factors of 5709
- GCF of 5709 and 5713
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