What is the Greatest Common Factor of 72665 and 72681?
Greatest common factor (GCF) of 72665 and 72681 is 1.
GCF(72665,72681) = 1
We will now calculate the prime factors of 72665 and 72681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72665 and 72681.
How to find the GCF of 72665 and 72681?
We will first find the prime factorization of 72665 and 72681. After we will calculate the factors of 72665 and 72681 and find the biggest common factor number .
Step-1: Prime Factorization of 72665
Prime factors of 72665 are 5, 14533. Prime factorization of 72665 in exponential form is:
72665 = 51 × 145331
Step-2: Prime Factorization of 72681
Prime factors of 72681 are 3, 7, 3461. Prime factorization of 72681 in exponential form is:
72681 = 31 × 71 × 34611
Step-3: Factors of 72665
List of positive integer factors of 72665 that divides 72665 without a remainder.
1, 5, 14533
Step-4: Factors of 72681
List of positive integer factors of 72681 that divides 72665 without a remainder.
1, 3, 7, 21, 3461, 10383, 24227
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72665 and 72681. The biggest common factor number is the GCF number.
So the greatest common factor 72665 and 72681 is 1.
Also check out the Least Common Multiple of 72665 and 72681
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