What is the Greatest Common Factor of 1967 and 1987?
Greatest common factor (GCF) of 1967 and 1987 is 1.
GCF(1967,1987) = 1
We will now calculate the prime factors of 1967 and 1987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1967 and 1987.
How to find the GCF of 1967 and 1987?
We will first find the prime factorization of 1967 and 1987. After we will calculate the factors of 1967 and 1987 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 1987
Prime factors of 1987 are 1987. Prime factorization of 1987 in exponential form is:
1987 = 19871
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 1987
List of positive integer factors of 1987 that divides 1967 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1967 and 1987. The biggest common factor number is the GCF number.
So the greatest common factor 1967 and 1987 is 1.
Also check out the Least Common Multiple of 1967 and 1987
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 1987
- GCF of 1987 and 1991
- GCF of 1987 and 1992
- GCF of 1987 and 1993
- GCF of 1987 and 1994
- GCF of 1987 and 1995
- GCF of 1987 and 1996
- GCF of 1987 and 1997
- GCF of 1987 and 1998
- GCF of 1987 and 1999
- GCF of 1987 and 2000
- GCF of 1987 and 2001
- GCF of 1987 and 2002
- GCF of 1987 and 2003
- GCF of 1987 and 2004
- GCF of 1987 and 2005
- GCF of 1987 and 2006
- GCF of 1987 and 2007