What is the Greatest Common Factor of 72571 and 72578?
Greatest common factor (GCF) of 72571 and 72578 is 1.
GCF(72571,72578) = 1
We will now calculate the prime factors of 72571 and 72578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72571 and 72578.
How to find the GCF of 72571 and 72578?
We will first find the prime factorization of 72571 and 72578. After we will calculate the factors of 72571 and 72578 and find the biggest common factor number .
Step-1: Prime Factorization of 72571
Prime factors of 72571 are 31, 2341. Prime factorization of 72571 in exponential form is:
72571 = 311 × 23411
Step-2: Prime Factorization of 72578
Prime factors of 72578 are 2, 11, 3299. Prime factorization of 72578 in exponential form is:
72578 = 21 × 111 × 32991
Step-3: Factors of 72571
List of positive integer factors of 72571 that divides 72571 without a remainder.
1, 31, 2341
Step-4: Factors of 72578
List of positive integer factors of 72578 that divides 72571 without a remainder.
1, 2, 11, 22, 3299, 6598, 36289
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72571 and 72578. The biggest common factor number is the GCF number.
So the greatest common factor 72571 and 72578 is 1.
Also check out the Least Common Multiple of 72571 and 72578
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