What is the Greatest Common Factor of 65845 and 65862?
Greatest common factor (GCF) of 65845 and 65862 is 1.
GCF(65845,65862) = 1
We will now calculate the prime factors of 65845 and 65862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65845 and 65862.
How to find the GCF of 65845 and 65862?
We will first find the prime factorization of 65845 and 65862. After we will calculate the factors of 65845 and 65862 and find the biggest common factor number .
Step-1: Prime Factorization of 65845
Prime factors of 65845 are 5, 13, 1013. Prime factorization of 65845 in exponential form is:
65845 = 51 × 131 × 10131
Step-2: Prime Factorization of 65862
Prime factors of 65862 are 2, 3, 3659. Prime factorization of 65862 in exponential form is:
65862 = 21 × 32 × 36591
Step-3: Factors of 65845
List of positive integer factors of 65845 that divides 65845 without a remainder.
1, 5, 13, 65, 1013, 5065, 13169
Step-4: Factors of 65862
List of positive integer factors of 65862 that divides 65845 without a remainder.
1, 2, 3, 6, 9, 18, 3659, 7318, 10977, 21954, 32931
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 65845 and 65862. The biggest common factor number is the GCF number.
So the greatest common factor 65845 and 65862 is 1.
Also check out the Least Common Multiple of 65845 and 65862
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