What is the Greatest Common Factor of 11690 and 11706?
Greatest common factor (GCF) of 11690 and 11706 is 2.
GCF(11690,11706) = 2
We will now calculate the prime factors of 11690 and 11706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11690 and 11706.
How to find the GCF of 11690 and 11706?
We will first find the prime factorization of 11690 and 11706. After we will calculate the factors of 11690 and 11706 and find the biggest common factor number .
Step-1: Prime Factorization of 11690
Prime factors of 11690 are 2, 5, 7, 167. Prime factorization of 11690 in exponential form is:
11690 = 21 × 51 × 71 × 1671
Step-2: Prime Factorization of 11706
Prime factors of 11706 are 2, 3, 1951. Prime factorization of 11706 in exponential form is:
11706 = 21 × 31 × 19511
Step-3: Factors of 11690
List of positive integer factors of 11690 that divides 11690 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 167, 334, 835, 1169, 1670, 2338, 5845
Step-4: Factors of 11706
List of positive integer factors of 11706 that divides 11690 without a remainder.
1, 2, 3, 6, 1951, 3902, 5853
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11690 and 11706. The biggest common factor number is the GCF number.
So the greatest common factor 11690 and 11706 is 2.
Also check out the Least Common Multiple of 11690 and 11706
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