What is the Greatest Common Factor of 11658 and 11672?
Greatest common factor (GCF) of 11658 and 11672 is 2.
GCF(11658,11672) = 2
We will now calculate the prime factors of 11658 and 11672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11658 and 11672.
How to find the GCF of 11658 and 11672?
We will first find the prime factorization of 11658 and 11672. After we will calculate the factors of 11658 and 11672 and find the biggest common factor number .
Step-1: Prime Factorization of 11658
Prime factors of 11658 are 2, 3, 29, 67. Prime factorization of 11658 in exponential form is:
11658 = 21 × 31 × 291 × 671
Step-2: Prime Factorization of 11672
Prime factors of 11672 are 2, 1459. Prime factorization of 11672 in exponential form is:
11672 = 23 × 14591
Step-3: Factors of 11658
List of positive integer factors of 11658 that divides 11658 without a remainder.
1, 2, 3, 6, 29, 58, 67, 87, 134, 174, 201, 402, 1943, 3886, 5829
Step-4: Factors of 11672
List of positive integer factors of 11672 that divides 11658 without a remainder.
1, 2, 4, 8, 1459, 2918, 5836
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11658 and 11672. The biggest common factor number is the GCF number.
So the greatest common factor 11658 and 11672 is 2.
Also check out the Least Common Multiple of 11658 and 11672
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Related Greatest Common Factors of 11672
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