What is the Greatest Common Factor of 74021 and 74030?
Greatest common factor (GCF) of 74021 and 74030 is 1.
GCF(74021,74030) = 1
We will now calculate the prime factors of 74021 and 74030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74021 and 74030.
How to find the GCF of 74021 and 74030?
We will first find the prime factorization of 74021 and 74030. After we will calculate the factors of 74021 and 74030 and find the biggest common factor number .
Step-1: Prime Factorization of 74021
Prime factors of 74021 are 74021. Prime factorization of 74021 in exponential form is:
74021 = 740211
Step-2: Prime Factorization of 74030
Prime factors of 74030 are 2, 5, 11, 673. Prime factorization of 74030 in exponential form is:
74030 = 21 × 51 × 111 × 6731
Step-3: Factors of 74021
List of positive integer factors of 74021 that divides 74021 without a remainder.
1
Step-4: Factors of 74030
List of positive integer factors of 74030 that divides 74021 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110, 673, 1346, 3365, 6730, 7403, 14806, 37015
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74021 and 74030. The biggest common factor number is the GCF number.
So the greatest common factor 74021 and 74030 is 1.
Also check out the Least Common Multiple of 74021 and 74030
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