What is the Greatest Common Factor of 10841 and 10860?
Greatest common factor (GCF) of 10841 and 10860 is 1.
GCF(10841,10860) = 1
We will now calculate the prime factors of 10841 and 10860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10841 and 10860.
How to find the GCF of 10841 and 10860?
We will first find the prime factorization of 10841 and 10860. After we will calculate the factors of 10841 and 10860 and find the biggest common factor number .
Step-1: Prime Factorization of 10841
Prime factors of 10841 are 37, 293. Prime factorization of 10841 in exponential form is:
10841 = 371 × 2931
Step-2: Prime Factorization of 10860
Prime factors of 10860 are 2, 3, 5, 181. Prime factorization of 10860 in exponential form is:
10860 = 22 × 31 × 51 × 1811
Step-3: Factors of 10841
List of positive integer factors of 10841 that divides 10841 without a remainder.
1, 37, 293
Step-4: Factors of 10860
List of positive integer factors of 10860 that divides 10841 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 181, 362, 543, 724, 905, 1086, 1810, 2172, 2715, 3620, 5430
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10841 and 10860. The biggest common factor number is the GCF number.
So the greatest common factor 10841 and 10860 is 1.
Also check out the Least Common Multiple of 10841 and 10860
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