What is the Greatest Common Factor of 72517 and 72534?
Greatest common factor (GCF) of 72517 and 72534 is 1.
GCF(72517,72534) = 1
We will now calculate the prime factors of 72517 and 72534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72517 and 72534.
How to find the GCF of 72517 and 72534?
We will first find the prime factorization of 72517 and 72534. After we will calculate the factors of 72517 and 72534 and find the biggest common factor number .
Step-1: Prime Factorization of 72517
Prime factors of 72517 are 127, 571. Prime factorization of 72517 in exponential form is:
72517 = 1271 × 5711
Step-2: Prime Factorization of 72534
Prime factors of 72534 are 2, 3, 7, 11, 157. Prime factorization of 72534 in exponential form is:
72534 = 21 × 31 × 71 × 111 × 1571
Step-3: Factors of 72517
List of positive integer factors of 72517 that divides 72517 without a remainder.
1, 127, 571
Step-4: Factors of 72534
List of positive integer factors of 72534 that divides 72517 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 157, 231, 314, 462, 471, 942, 1099, 1727, 2198, 3297, 3454, 5181, 6594, 10362, 12089, 24178, 36267
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72517 and 72534. The biggest common factor number is the GCF number.
So the greatest common factor 72517 and 72534 is 1.
Also check out the Least Common Multiple of 72517 and 72534
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