What is the Greatest Common Factor of 55744 and 55750?
Greatest common factor (GCF) of 55744 and 55750 is 2.
GCF(55744,55750) = 2
We will now calculate the prime factors of 55744 and 55750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55744 and 55750.
How to find the GCF of 55744 and 55750?
We will first find the prime factorization of 55744 and 55750. After we will calculate the factors of 55744 and 55750 and find the biggest common factor number .
Step-1: Prime Factorization of 55744
Prime factors of 55744 are 2, 13, 67. Prime factorization of 55744 in exponential form is:
55744 = 26 × 131 × 671
Step-2: Prime Factorization of 55750
Prime factors of 55750 are 2, 5, 223. Prime factorization of 55750 in exponential form is:
55750 = 21 × 53 × 2231
Step-3: Factors of 55744
List of positive integer factors of 55744 that divides 55744 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 67, 104, 134, 208, 268, 416, 536, 832, 871, 1072, 1742, 2144, 3484, 4288, 6968, 13936, 27872
Step-4: Factors of 55750
List of positive integer factors of 55750 that divides 55744 without a remainder.
1, 2, 5, 10, 25, 50, 125, 223, 250, 446, 1115, 2230, 5575, 11150, 27875
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55744 and 55750. The biggest common factor number is the GCF number.
So the greatest common factor 55744 and 55750 is 2.
Also check out the Least Common Multiple of 55744 and 55750
Related Greatest Common Factors of 55744
- GCF of 55744 and 55748
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- GCF of 55744 and 55751
- GCF of 55744 and 55752
- GCF of 55744 and 55753
- GCF of 55744 and 55754
- GCF of 55744 and 55755
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- GCF of 55744 and 55757
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Related Greatest Common Factors of 55750
- GCF of 55750 and 55754
- GCF of 55750 and 55755
- GCF of 55750 and 55756
- GCF of 55750 and 55757
- GCF of 55750 and 55758
- GCF of 55750 and 55759
- GCF of 55750 and 55760
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- GCF of 55750 and 55764
- GCF of 55750 and 55765
- GCF of 55750 and 55766
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