What is the Greatest Common Factor of 11664 and 11675?
Greatest common factor (GCF) of 11664 and 11675 is 1.
GCF(11664,11675) = 1
We will now calculate the prime factors of 11664 and 11675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11664 and 11675.
How to find the GCF of 11664 and 11675?
We will first find the prime factorization of 11664 and 11675. After we will calculate the factors of 11664 and 11675 and find the biggest common factor number .
Step-1: Prime Factorization of 11664
Prime factors of 11664 are 2, 3. Prime factorization of 11664 in exponential form is:
11664 = 24 × 36
Step-2: Prime Factorization of 11675
Prime factors of 11675 are 5, 467. Prime factorization of 11675 in exponential form is:
11675 = 52 × 4671
Step-3: Factors of 11664
List of positive integer factors of 11664 that divides 11664 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 729, 972, 1296, 1458, 1944, 2916, 3888, 5832
Step-4: Factors of 11675
List of positive integer factors of 11675 that divides 11664 without a remainder.
1, 5, 25, 467, 2335
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11664 and 11675. The biggest common factor number is the GCF number.
So the greatest common factor 11664 and 11675 is 1.
Also check out the Least Common Multiple of 11664 and 11675
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Related Greatest Common Factors of 11675
- GCF of 11675 and 11679
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- GCF of 11675 and 11690
- GCF of 11675 and 11691
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