What is the Greatest Common Factor of 72509 and 72529?
Greatest common factor (GCF) of 72509 and 72529 is 1.
GCF(72509,72529) = 1
We will now calculate the prime factors of 72509 and 72529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72509 and 72529.
How to find the GCF of 72509 and 72529?
We will first find the prime factorization of 72509 and 72529. After we will calculate the factors of 72509 and 72529 and find the biggest common factor number .
Step-1: Prime Factorization of 72509
Prime factors of 72509 are 31, 2339. Prime factorization of 72509 in exponential form is:
72509 = 311 × 23391
Step-2: Prime Factorization of 72529
Prime factors of 72529 are 29, 41, 61. Prime factorization of 72529 in exponential form is:
72529 = 291 × 411 × 611
Step-3: Factors of 72509
List of positive integer factors of 72509 that divides 72509 without a remainder.
1, 31, 2339
Step-4: Factors of 72529
List of positive integer factors of 72529 that divides 72509 without a remainder.
1, 29, 41, 61, 1189, 1769, 2501
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72509 and 72529. The biggest common factor number is the GCF number.
So the greatest common factor 72509 and 72529 is 1.
Also check out the Least Common Multiple of 72509 and 72529
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