What is the Greatest Common Factor of 1967 and 1984?
Greatest common factor (GCF) of 1967 and 1984 is 1.
GCF(1967,1984) = 1
We will now calculate the prime factors of 1967 and 1984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1967 and 1984.
How to find the GCF of 1967 and 1984?
We will first find the prime factorization of 1967 and 1984. After we will calculate the factors of 1967 and 1984 and find the biggest common factor number .
Step-1: Prime Factorization of 1967
Prime factors of 1967 are 7, 281. Prime factorization of 1967 in exponential form is:
1967 = 71 × 2811
Step-2: Prime Factorization of 1984
Prime factors of 1984 are 2, 31. Prime factorization of 1984 in exponential form is:
1984 = 26 × 311
Step-3: Factors of 1967
List of positive integer factors of 1967 that divides 1967 without a remainder.
1, 7, 281
Step-4: Factors of 1984
List of positive integer factors of 1984 that divides 1967 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1967 and 1984. The biggest common factor number is the GCF number.
So the greatest common factor 1967 and 1984 is 1.
Also check out the Least Common Multiple of 1967 and 1984
Related Greatest Common Factors of 1967
- GCF of 1967 and 1971
- GCF of 1967 and 1972
- GCF of 1967 and 1973
- GCF of 1967 and 1974
- GCF of 1967 and 1975
- GCF of 1967 and 1976
- GCF of 1967 and 1977
- GCF of 1967 and 1978
- GCF of 1967 and 1979
- GCF of 1967 and 1980
- GCF of 1967 and 1981
- GCF of 1967 and 1982
- GCF of 1967 and 1983
- GCF of 1967 and 1984
- GCF of 1967 and 1985
- GCF of 1967 and 1986
- GCF of 1967 and 1987
Related Greatest Common Factors of 1984
- GCF of 1984 and 1988
- GCF of 1984 and 1989
- GCF of 1984 and 1990
- GCF of 1984 and 1991
- GCF of 1984 and 1992
- GCF of 1984 and 1993
- GCF of 1984 and 1994
- GCF of 1984 and 1995
- GCF of 1984 and 1996
- GCF of 1984 and 1997
- GCF of 1984 and 1998
- GCF of 1984 and 1999
- GCF of 1984 and 2000
- GCF of 1984 and 2001
- GCF of 1984 and 2002
- GCF of 1984 and 2003
- GCF of 1984 and 2004