What is the Greatest Common Factor of 73065 and 73070?
Greatest common factor (GCF) of 73065 and 73070 is 5.
GCF(73065,73070) = 5
We will now calculate the prime factors of 73065 and 73070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73065 and 73070.
How to find the GCF of 73065 and 73070?
We will first find the prime factorization of 73065 and 73070. After we will calculate the factors of 73065 and 73070 and find the biggest common factor number .
Step-1: Prime Factorization of 73065
Prime factors of 73065 are 3, 5, 4871. Prime factorization of 73065 in exponential form is:
73065 = 31 × 51 × 48711
Step-2: Prime Factorization of 73070
Prime factors of 73070 are 2, 5, 7307. Prime factorization of 73070 in exponential form is:
73070 = 21 × 51 × 73071
Step-3: Factors of 73065
List of positive integer factors of 73065 that divides 73065 without a remainder.
1, 3, 5, 15, 4871, 14613, 24355
Step-4: Factors of 73070
List of positive integer factors of 73070 that divides 73065 without a remainder.
1, 2, 5, 10, 7307, 14614, 36535
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 73065 and 73070. The biggest common factor number is the GCF number.
So the greatest common factor 73065 and 73070 is 5.
Also check out the Least Common Multiple of 73065 and 73070
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