What is the Greatest Common Factor of 11744 and 11748?
Greatest common factor (GCF) of 11744 and 11748 is 4.
GCF(11744,11748) = 4
We will now calculate the prime factors of 11744 and 11748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11744 and 11748.
How to find the GCF of 11744 and 11748?
We will first find the prime factorization of 11744 and 11748. After we will calculate the factors of 11744 and 11748 and find the biggest common factor number .
Step-1: Prime Factorization of 11744
Prime factors of 11744 are 2, 367. Prime factorization of 11744 in exponential form is:
11744 = 25 × 3671
Step-2: Prime Factorization of 11748
Prime factors of 11748 are 2, 3, 11, 89. Prime factorization of 11748 in exponential form is:
11748 = 22 × 31 × 111 × 891
Step-3: Factors of 11744
List of positive integer factors of 11744 that divides 11744 without a remainder.
1, 2, 4, 8, 16, 32, 367, 734, 1468, 2936, 5872
Step-4: Factors of 11748
List of positive integer factors of 11748 that divides 11744 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 89, 132, 178, 267, 356, 534, 979, 1068, 1958, 2937, 3916, 5874
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11744 and 11748. The biggest common factor number is the GCF number.
So the greatest common factor 11744 and 11748 is 4.
Also check out the Least Common Multiple of 11744 and 11748
Related Greatest Common Factors of 11744
- GCF of 11744 and 11748
- GCF of 11744 and 11749
- GCF of 11744 and 11750
- GCF of 11744 and 11751
- GCF of 11744 and 11752
- GCF of 11744 and 11753
- GCF of 11744 and 11754
- GCF of 11744 and 11755
- GCF of 11744 and 11756
- GCF of 11744 and 11757
- GCF of 11744 and 11758
- GCF of 11744 and 11759
- GCF of 11744 and 11760
- GCF of 11744 and 11761
- GCF of 11744 and 11762
- GCF of 11744 and 11763
- GCF of 11744 and 11764
Related Greatest Common Factors of 11748
- GCF of 11748 and 11752
- GCF of 11748 and 11753
- GCF of 11748 and 11754
- GCF of 11748 and 11755
- GCF of 11748 and 11756
- GCF of 11748 and 11757
- GCF of 11748 and 11758
- GCF of 11748 and 11759
- GCF of 11748 and 11760
- GCF of 11748 and 11761
- GCF of 11748 and 11762
- GCF of 11748 and 11763
- GCF of 11748 and 11764
- GCF of 11748 and 11765
- GCF of 11748 and 11766
- GCF of 11748 and 11767
- GCF of 11748 and 11768