What is the Greatest Common Factor of 72271 and 72288?
Greatest common factor (GCF) of 72271 and 72288 is 1.
GCF(72271,72288) = 1
We will now calculate the prime factors of 72271 and 72288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72271 and 72288.
How to find the GCF of 72271 and 72288?
We will first find the prime factorization of 72271 and 72288. After we will calculate the factors of 72271 and 72288 and find the biggest common factor number .
Step-1: Prime Factorization of 72271
Prime factors of 72271 are 72271. Prime factorization of 72271 in exponential form is:
72271 = 722711
Step-2: Prime Factorization of 72288
Prime factors of 72288 are 2, 3, 251. Prime factorization of 72288 in exponential form is:
72288 = 25 × 32 × 2511
Step-3: Factors of 72271
List of positive integer factors of 72271 that divides 72271 without a remainder.
1
Step-4: Factors of 72288
List of positive integer factors of 72288 that divides 72271 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 251, 288, 502, 753, 1004, 1506, 2008, 2259, 3012, 4016, 4518, 6024, 8032, 9036, 12048, 18072, 24096, 36144
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72271 and 72288. The biggest common factor number is the GCF number.
So the greatest common factor 72271 and 72288 is 1.
Also check out the Least Common Multiple of 72271 and 72288
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