What is the Greatest Common Factor of 3023 and 3030?
Greatest common factor (GCF) of 3023 and 3030 is 1.
GCF(3023,3030) = 1
We will now calculate the prime factors of 3023 and 3030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3023 and 3030.
How to find the GCF of 3023 and 3030?
We will first find the prime factorization of 3023 and 3030. After we will calculate the factors of 3023 and 3030 and find the biggest common factor number .
Step-1: Prime Factorization of 3023
Prime factors of 3023 are 3023. Prime factorization of 3023 in exponential form is:
3023 = 30231
Step-2: Prime Factorization of 3030
Prime factors of 3030 are 2, 3, 5, 101. Prime factorization of 3030 in exponential form is:
3030 = 21 × 31 × 51 × 1011
Step-3: Factors of 3023
List of positive integer factors of 3023 that divides 3023 without a remainder.
1
Step-4: Factors of 3030
List of positive integer factors of 3030 that divides 3023 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3023 and 3030. The biggest common factor number is the GCF number.
So the greatest common factor 3023 and 3030 is 1.
Also check out the Least Common Multiple of 3023 and 3030
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