What is the Greatest Common Factor of 1038 and 1043?
Greatest common factor (GCF) of 1038 and 1043 is 1.
GCF(1038,1043) = 1
We will now calculate the prime factors of 1038 and 1043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1038 and 1043.
How to find the GCF of 1038 and 1043?
We will first find the prime factorization of 1038 and 1043. After we will calculate the factors of 1038 and 1043 and find the biggest common factor number .
Step-1: Prime Factorization of 1038
Prime factors of 1038 are 2, 3, 173. Prime factorization of 1038 in exponential form is:
1038 = 21 × 31 × 1731
Step-2: Prime Factorization of 1043
Prime factors of 1043 are 7, 149. Prime factorization of 1043 in exponential form is:
1043 = 71 × 1491
Step-3: Factors of 1038
List of positive integer factors of 1038 that divides 1038 without a remainder.
1, 2, 3, 6, 173, 346, 519
Step-4: Factors of 1043
List of positive integer factors of 1043 that divides 1038 without a remainder.
1, 7, 149
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1038 and 1043. The biggest common factor number is the GCF number.
So the greatest common factor 1038 and 1043 is 1.
Also check out the Least Common Multiple of 1038 and 1043
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