What is the Greatest Common Factor of 75105 and 75123?
Greatest common factor (GCF) of 75105 and 75123 is 9.
GCF(75105,75123) = 9
We will now calculate the prime factors of 75105 and 75123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75105 and 75123.
How to find the GCF of 75105 and 75123?
We will first find the prime factorization of 75105 and 75123. After we will calculate the factors of 75105 and 75123 and find the biggest common factor number .
Step-1: Prime Factorization of 75105
Prime factors of 75105 are 3, 5, 1669. Prime factorization of 75105 in exponential form is:
75105 = 32 × 51 × 16691
Step-2: Prime Factorization of 75123
Prime factors of 75123 are 3, 17, 491. Prime factorization of 75123 in exponential form is:
75123 = 32 × 171 × 4911
Step-3: Factors of 75105
List of positive integer factors of 75105 that divides 75105 without a remainder.
1, 3, 5, 9, 15, 45, 1669, 5007, 8345, 15021, 25035
Step-4: Factors of 75123
List of positive integer factors of 75123 that divides 75105 without a remainder.
1, 3, 9, 17, 51, 153, 491, 1473, 4419, 8347, 25041
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 75105 and 75123. The biggest common factor number is the GCF number.
So the greatest common factor 75105 and 75123 is 9.
Also check out the Least Common Multiple of 75105 and 75123
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