What is the Greatest Common Factor of 72391 and 72409?
Greatest common factor (GCF) of 72391 and 72409 is 1.
GCF(72391,72409) = 1
We will now calculate the prime factors of 72391 and 72409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72391 and 72409.
How to find the GCF of 72391 and 72409?
We will first find the prime factorization of 72391 and 72409. After we will calculate the factors of 72391 and 72409 and find the biggest common factor number .
Step-1: Prime Factorization of 72391
Prime factors of 72391 are 11, 6581. Prime factorization of 72391 in exponential form is:
72391 = 111 × 65811
Step-2: Prime Factorization of 72409
Prime factors of 72409 are 19, 37, 103. Prime factorization of 72409 in exponential form is:
72409 = 191 × 371 × 1031
Step-3: Factors of 72391
List of positive integer factors of 72391 that divides 72391 without a remainder.
1, 11, 6581
Step-4: Factors of 72409
List of positive integer factors of 72409 that divides 72391 without a remainder.
1, 19, 37, 103, 703, 1957, 3811
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72391 and 72409. The biggest common factor number is the GCF number.
So the greatest common factor 72391 and 72409 is 1.
Also check out the Least Common Multiple of 72391 and 72409
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