What is the Greatest Common Factor of 72443 and 72460?
Greatest common factor (GCF) of 72443 and 72460 is 1.
GCF(72443,72460) = 1
We will now calculate the prime factors of 72443 and 72460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72443 and 72460.
How to find the GCF of 72443 and 72460?
We will first find the prime factorization of 72443 and 72460. After we will calculate the factors of 72443 and 72460 and find the biggest common factor number .
Step-1: Prime Factorization of 72443
Prime factors of 72443 are 7, 79, 131. Prime factorization of 72443 in exponential form is:
72443 = 71 × 791 × 1311
Step-2: Prime Factorization of 72460
Prime factors of 72460 are 2, 5, 3623. Prime factorization of 72460 in exponential form is:
72460 = 22 × 51 × 36231
Step-3: Factors of 72443
List of positive integer factors of 72443 that divides 72443 without a remainder.
1, 7, 79, 131, 553, 917, 10349
Step-4: Factors of 72460
List of positive integer factors of 72460 that divides 72443 without a remainder.
1, 2, 4, 5, 10, 20, 3623, 7246, 14492, 18115, 36230
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72443 and 72460. The biggest common factor number is the GCF number.
So the greatest common factor 72443 and 72460 is 1.
Also check out the Least Common Multiple of 72443 and 72460
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