What is the Greatest Common Factor of 989 and 1008?
Greatest common factor (GCF) of 989 and 1008 is 1.
GCF(989,1008) = 1
We will now calculate the prime factors of 989 and 1008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 989 and 1008.
How to find the GCF of 989 and 1008?
We will first find the prime factorization of 989 and 1008. After we will calculate the factors of 989 and 1008 and find the biggest common factor number .
Step-1: Prime Factorization of 989
Prime factors of 989 are 23, 43. Prime factorization of 989 in exponential form is:
989 = 231 × 431
Step-2: Prime Factorization of 1008
Prime factors of 1008 are 2, 3, 7. Prime factorization of 1008 in exponential form is:
1008 = 24 × 32 × 71
Step-3: Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1, 23, 43
Step-4: Factors of 1008
List of positive integer factors of 1008 that divides 989 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 989 and 1008. The biggest common factor number is the GCF number.
So the greatest common factor 989 and 1008 is 1.
Also check out the Least Common Multiple of 989 and 1008
Related Greatest Common Factors of 989
- GCF of 989 and 993
- GCF of 989 and 994
- GCF of 989 and 995
- GCF of 989 and 996
- GCF of 989 and 997
- GCF of 989 and 998
- GCF of 989 and 999
- GCF of 989 and 1000
- GCF of 989 and 1001
- GCF of 989 and 1002
- GCF of 989 and 1003
- GCF of 989 and 1004
- GCF of 989 and 1005
- GCF of 989 and 1006
- GCF of 989 and 1007
- GCF of 989 and 1008
- GCF of 989 and 1009
Related Greatest Common Factors of 1008
- GCF of 1008 and 1012
- GCF of 1008 and 1013
- GCF of 1008 and 1014
- GCF of 1008 and 1015
- GCF of 1008 and 1016
- GCF of 1008 and 1017
- GCF of 1008 and 1018
- GCF of 1008 and 1019
- GCF of 1008 and 1020
- GCF of 1008 and 1021
- GCF of 1008 and 1022
- GCF of 1008 and 1023
- GCF of 1008 and 1024
- GCF of 1008 and 1025
- GCF of 1008 and 1026
- GCF of 1008 and 1027
- GCF of 1008 and 1028