What is the Greatest Common Factor of 10744 and 10755?
Greatest common factor (GCF) of 10744 and 10755 is 1.
GCF(10744,10755) = 1
We will now calculate the prime factors of 10744 and 10755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10744 and 10755.
How to find the GCF of 10744 and 10755?
We will first find the prime factorization of 10744 and 10755. After we will calculate the factors of 10744 and 10755 and find the biggest common factor number .
Step-1: Prime Factorization of 10744
Prime factors of 10744 are 2, 17, 79. Prime factorization of 10744 in exponential form is:
10744 = 23 × 171 × 791
Step-2: Prime Factorization of 10755
Prime factors of 10755 are 3, 5, 239. Prime factorization of 10755 in exponential form is:
10755 = 32 × 51 × 2391
Step-3: Factors of 10744
List of positive integer factors of 10744 that divides 10744 without a remainder.
1, 2, 4, 8, 17, 34, 68, 79, 136, 158, 316, 632, 1343, 2686, 5372
Step-4: Factors of 10755
List of positive integer factors of 10755 that divides 10744 without a remainder.
1, 3, 5, 9, 15, 45, 239, 717, 1195, 2151, 3585
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10744 and 10755. The biggest common factor number is the GCF number.
So the greatest common factor 10744 and 10755 is 1.
Also check out the Least Common Multiple of 10744 and 10755
Related Greatest Common Factors of 10744
- GCF of 10744 and 10748
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- GCF of 10744 and 10752
- GCF of 10744 and 10753
- GCF of 10744 and 10754
- GCF of 10744 and 10755
- GCF of 10744 and 10756
- GCF of 10744 and 10757
- GCF of 10744 and 10758
- GCF of 10744 and 10759
- GCF of 10744 and 10760
- GCF of 10744 and 10761
- GCF of 10744 and 10762
- GCF of 10744 and 10763
- GCF of 10744 and 10764
Related Greatest Common Factors of 10755
- GCF of 10755 and 10759
- GCF of 10755 and 10760
- GCF of 10755 and 10761
- GCF of 10755 and 10762
- GCF of 10755 and 10763
- GCF of 10755 and 10764
- GCF of 10755 and 10765
- GCF of 10755 and 10766
- GCF of 10755 and 10767
- GCF of 10755 and 10768
- GCF of 10755 and 10769
- GCF of 10755 and 10770
- GCF of 10755 and 10771
- GCF of 10755 and 10772
- GCF of 10755 and 10773
- GCF of 10755 and 10774
- GCF of 10755 and 10775