What is the Greatest Common Factor of 1775 and 1780?
Greatest common factor (GCF) of 1775 and 1780 is 5.
GCF(1775,1780) = 5
We will now calculate the prime factors of 1775 and 1780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1775 and 1780.
How to find the GCF of 1775 and 1780?
We will first find the prime factorization of 1775 and 1780. After we will calculate the factors of 1775 and 1780 and find the biggest common factor number .
Step-1: Prime Factorization of 1775
Prime factors of 1775 are 5, 71. Prime factorization of 1775 in exponential form is:
1775 = 52 × 711
Step-2: Prime Factorization of 1780
Prime factors of 1780 are 2, 5, 89. Prime factorization of 1780 in exponential form is:
1780 = 22 × 51 × 891
Step-3: Factors of 1775
List of positive integer factors of 1775 that divides 1775 without a remainder.
1, 5, 25, 71, 355
Step-4: Factors of 1780
List of positive integer factors of 1780 that divides 1775 without a remainder.
1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1775 and 1780. The biggest common factor number is the GCF number.
So the greatest common factor 1775 and 1780 is 5.
Also check out the Least Common Multiple of 1775 and 1780
Related Greatest Common Factors of 1775
- GCF of 1775 and 1779
- GCF of 1775 and 1780
- GCF of 1775 and 1781
- GCF of 1775 and 1782
- GCF of 1775 and 1783
- GCF of 1775 and 1784
- GCF of 1775 and 1785
- GCF of 1775 and 1786
- GCF of 1775 and 1787
- GCF of 1775 and 1788
- GCF of 1775 and 1789
- GCF of 1775 and 1790
- GCF of 1775 and 1791
- GCF of 1775 and 1792
- GCF of 1775 and 1793
- GCF of 1775 and 1794
- GCF of 1775 and 1795
Related Greatest Common Factors of 1780
- GCF of 1780 and 1784
- GCF of 1780 and 1785
- GCF of 1780 and 1786
- GCF of 1780 and 1787
- GCF of 1780 and 1788
- GCF of 1780 and 1789
- GCF of 1780 and 1790
- GCF of 1780 and 1791
- GCF of 1780 and 1792
- GCF of 1780 and 1793
- GCF of 1780 and 1794
- GCF of 1780 and 1795
- GCF of 1780 and 1796
- GCF of 1780 and 1797
- GCF of 1780 and 1798
- GCF of 1780 and 1799
- GCF of 1780 and 1800