What is the Greatest Common Factor of 11670 and 11684?
Greatest common factor (GCF) of 11670 and 11684 is 2.
GCF(11670,11684) = 2
We will now calculate the prime factors of 11670 and 11684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11670 and 11684.
How to find the GCF of 11670 and 11684?
We will first find the prime factorization of 11670 and 11684. After we will calculate the factors of 11670 and 11684 and find the biggest common factor number .
Step-1: Prime Factorization of 11670
Prime factors of 11670 are 2, 3, 5, 389. Prime factorization of 11670 in exponential form is:
11670 = 21 × 31 × 51 × 3891
Step-2: Prime Factorization of 11684
Prime factors of 11684 are 2, 23, 127. Prime factorization of 11684 in exponential form is:
11684 = 22 × 231 × 1271
Step-3: Factors of 11670
List of positive integer factors of 11670 that divides 11670 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 389, 778, 1167, 1945, 2334, 3890, 5835
Step-4: Factors of 11684
List of positive integer factors of 11684 that divides 11670 without a remainder.
1, 2, 4, 23, 46, 92, 127, 254, 508, 2921, 5842
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11670 and 11684. The biggest common factor number is the GCF number.
So the greatest common factor 11670 and 11684 is 2.
Also check out the Least Common Multiple of 11670 and 11684
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