What is the Greatest Common Factor of 11720 and 11732?
Greatest common factor (GCF) of 11720 and 11732 is 4.
GCF(11720,11732) = 4
We will now calculate the prime factors of 11720 and 11732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11720 and 11732.
How to find the GCF of 11720 and 11732?
We will first find the prime factorization of 11720 and 11732. After we will calculate the factors of 11720 and 11732 and find the biggest common factor number .
Step-1: Prime Factorization of 11720
Prime factors of 11720 are 2, 5, 293. Prime factorization of 11720 in exponential form is:
11720 = 23 × 51 × 2931
Step-2: Prime Factorization of 11732
Prime factors of 11732 are 2, 7, 419. Prime factorization of 11732 in exponential form is:
11732 = 22 × 71 × 4191
Step-3: Factors of 11720
List of positive integer factors of 11720 that divides 11720 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 293, 586, 1172, 1465, 2344, 2930, 5860
Step-4: Factors of 11732
List of positive integer factors of 11732 that divides 11720 without a remainder.
1, 2, 4, 7, 14, 28, 419, 838, 1676, 2933, 5866
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 11720 and 11732. The biggest common factor number is the GCF number.
So the greatest common factor 11720 and 11732 is 4.
Also check out the Least Common Multiple of 11720 and 11732
Related Greatest Common Factors of 11720
- GCF of 11720 and 11724
- GCF of 11720 and 11725
- GCF of 11720 and 11726
- GCF of 11720 and 11727
- GCF of 11720 and 11728
- GCF of 11720 and 11729
- GCF of 11720 and 11730
- GCF of 11720 and 11731
- GCF of 11720 and 11732
- GCF of 11720 and 11733
- GCF of 11720 and 11734
- GCF of 11720 and 11735
- GCF of 11720 and 11736
- GCF of 11720 and 11737
- GCF of 11720 and 11738
- GCF of 11720 and 11739
- GCF of 11720 and 11740
Related Greatest Common Factors of 11732
- GCF of 11732 and 11736
- GCF of 11732 and 11737
- GCF of 11732 and 11738
- GCF of 11732 and 11739
- GCF of 11732 and 11740
- GCF of 11732 and 11741
- GCF of 11732 and 11742
- GCF of 11732 and 11743
- GCF of 11732 and 11744
- GCF of 11732 and 11745
- GCF of 11732 and 11746
- GCF of 11732 and 11747
- GCF of 11732 and 11748
- GCF of 11732 and 11749
- GCF of 11732 and 11750
- GCF of 11732 and 11751
- GCF of 11732 and 11752