What is the Greatest Common Factor of 1980 and 1988?
Greatest common factor (GCF) of 1980 and 1988 is 4.
GCF(1980,1988) = 4
We will now calculate the prime factors of 1980 and 1988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1980 and 1988.
How to find the GCF of 1980 and 1988?
We will first find the prime factorization of 1980 and 1988. After we will calculate the factors of 1980 and 1988 and find the biggest common factor number .
Step-1: Prime Factorization of 1980
Prime factors of 1980 are 2, 3, 5, 11. Prime factorization of 1980 in exponential form is:
1980 = 22 × 32 × 51 × 111
Step-2: Prime Factorization of 1988
Prime factors of 1988 are 2, 7, 71. Prime factorization of 1988 in exponential form is:
1988 = 22 × 71 × 711
Step-3: Factors of 1980
List of positive integer factors of 1980 that divides 1980 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990
Step-4: Factors of 1988
List of positive integer factors of 1988 that divides 1980 without a remainder.
1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1980 and 1988. The biggest common factor number is the GCF number.
So the greatest common factor 1980 and 1988 is 4.
Also check out the Least Common Multiple of 1980 and 1988
Related Greatest Common Factors of 1980
- GCF of 1980 and 1984
- GCF of 1980 and 1985
- GCF of 1980 and 1986
- GCF of 1980 and 1987
- GCF of 1980 and 1988
- GCF of 1980 and 1989
- GCF of 1980 and 1990
- GCF of 1980 and 1991
- GCF of 1980 and 1992
- GCF of 1980 and 1993
- GCF of 1980 and 1994
- GCF of 1980 and 1995
- GCF of 1980 and 1996
- GCF of 1980 and 1997
- GCF of 1980 and 1998
- GCF of 1980 and 1999
- GCF of 1980 and 2000
Related Greatest Common Factors of 1988
- GCF of 1988 and 1992
- GCF of 1988 and 1993
- GCF of 1988 and 1994
- GCF of 1988 and 1995
- GCF of 1988 and 1996
- GCF of 1988 and 1997
- GCF of 1988 and 1998
- GCF of 1988 and 1999
- GCF of 1988 and 2000
- GCF of 1988 and 2001
- GCF of 1988 and 2002
- GCF of 1988 and 2003
- GCF of 1988 and 2004
- GCF of 1988 and 2005
- GCF of 1988 and 2006
- GCF of 1988 and 2007
- GCF of 1988 and 2008