What is the Greatest Common Factor of 1944 and 1963?
Greatest common factor (GCF) of 1944 and 1963 is 1.
GCF(1944,1963) = 1
We will now calculate the prime factors of 1944 and 1963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1944 and 1963.
How to find the GCF of 1944 and 1963?
We will first find the prime factorization of 1944 and 1963. After we will calculate the factors of 1944 and 1963 and find the biggest common factor number .
Step-1: Prime Factorization of 1944
Prime factors of 1944 are 2, 3. Prime factorization of 1944 in exponential form is:
1944 = 23 × 35
Step-2: Prime Factorization of 1963
Prime factors of 1963 are 13, 151. Prime factorization of 1963 in exponential form is:
1963 = 131 × 1511
Step-3: Factors of 1944
List of positive integer factors of 1944 that divides 1944 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972
Step-4: Factors of 1963
List of positive integer factors of 1963 that divides 1944 without a remainder.
1, 13, 151
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1944 and 1963. The biggest common factor number is the GCF number.
So the greatest common factor 1944 and 1963 is 1.
Also check out the Least Common Multiple of 1944 and 1963
Related Greatest Common Factors of 1944
- GCF of 1944 and 1948
- GCF of 1944 and 1949
- GCF of 1944 and 1950
- GCF of 1944 and 1951
- GCF of 1944 and 1952
- GCF of 1944 and 1953
- GCF of 1944 and 1954
- GCF of 1944 and 1955
- GCF of 1944 and 1956
- GCF of 1944 and 1957
- GCF of 1944 and 1958
- GCF of 1944 and 1959
- GCF of 1944 and 1960
- GCF of 1944 and 1961
- GCF of 1944 and 1962
- GCF of 1944 and 1963
- GCF of 1944 and 1964
Related Greatest Common Factors of 1963
- GCF of 1963 and 1967
- GCF of 1963 and 1968
- GCF of 1963 and 1969
- GCF of 1963 and 1970
- GCF of 1963 and 1971
- GCF of 1963 and 1972
- GCF of 1963 and 1973
- GCF of 1963 and 1974
- GCF of 1963 and 1975
- GCF of 1963 and 1976
- GCF of 1963 and 1977
- GCF of 1963 and 1978
- GCF of 1963 and 1979
- GCF of 1963 and 1980
- GCF of 1963 and 1981
- GCF of 1963 and 1982
- GCF of 1963 and 1983