What is the Greatest Common Factor of 1024 and 1029?
Greatest common factor (GCF) of 1024 and 1029 is 1.
GCF(1024,1029) = 1
We will now calculate the prime factors of 1024 and 1029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1024 and 1029.
How to find the GCF of 1024 and 1029?
We will first find the prime factorization of 1024 and 1029. After we will calculate the factors of 1024 and 1029 and find the biggest common factor number .
Step-1: Prime Factorization of 1024
Prime factors of 1024 are 2. Prime factorization of 1024 in exponential form is:
1024 = 210
Step-2: Prime Factorization of 1029
Prime factors of 1029 are 3, 7. Prime factorization of 1029 in exponential form is:
1029 = 31 × 73
Step-3: Factors of 1024
List of positive integer factors of 1024 that divides 1024 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Step-4: Factors of 1029
List of positive integer factors of 1029 that divides 1024 without a remainder.
1, 3, 7, 21, 49, 147, 343
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1024 and 1029. The biggest common factor number is the GCF number.
So the greatest common factor 1024 and 1029 is 1.
Also check out the Least Common Multiple of 1024 and 1029
Related Greatest Common Factors of 1024
- GCF of 1024 and 1028
- GCF of 1024 and 1029
- GCF of 1024 and 1030
- GCF of 1024 and 1031
- GCF of 1024 and 1032
- GCF of 1024 and 1033
- GCF of 1024 and 1034
- GCF of 1024 and 1035
- GCF of 1024 and 1036
- GCF of 1024 and 1037
- GCF of 1024 and 1038
- GCF of 1024 and 1039
- GCF of 1024 and 1040
- GCF of 1024 and 1041
- GCF of 1024 and 1042
- GCF of 1024 and 1043
- GCF of 1024 and 1044
Related Greatest Common Factors of 1029
- GCF of 1029 and 1033
- GCF of 1029 and 1034
- GCF of 1029 and 1035
- GCF of 1029 and 1036
- GCF of 1029 and 1037
- GCF of 1029 and 1038
- GCF of 1029 and 1039
- GCF of 1029 and 1040
- GCF of 1029 and 1041
- GCF of 1029 and 1042
- GCF of 1029 and 1043
- GCF of 1029 and 1044
- GCF of 1029 and 1045
- GCF of 1029 and 1046
- GCF of 1029 and 1047
- GCF of 1029 and 1048
- GCF of 1029 and 1049