What is the Greatest Common Factor of 1028 and 1032?
Greatest common factor (GCF) of 1028 and 1032 is 4.
GCF(1028,1032) = 4
We will now calculate the prime factors of 1028 and 1032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1028 and 1032.
How to find the GCF of 1028 and 1032?
We will first find the prime factorization of 1028 and 1032. After we will calculate the factors of 1028 and 1032 and find the biggest common factor number .
Step-1: Prime Factorization of 1028
Prime factors of 1028 are 2, 257. Prime factorization of 1028 in exponential form is:
1028 = 22 × 2571
Step-2: Prime Factorization of 1032
Prime factors of 1032 are 2, 3, 43. Prime factorization of 1032 in exponential form is:
1032 = 23 × 31 × 431
Step-3: Factors of 1028
List of positive integer factors of 1028 that divides 1028 without a remainder.
1, 2, 4, 257, 514
Step-4: Factors of 1032
List of positive integer factors of 1032 that divides 1028 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1028 and 1032. The biggest common factor number is the GCF number.
So the greatest common factor 1028 and 1032 is 4.
Also check out the Least Common Multiple of 1028 and 1032
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