What is the Greatest Common Factor of 508 and 517?
Greatest common factor (GCF) of 508 and 517 is 1.
GCF(508,517) = 1
We will now calculate the prime factors of 508 and 517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 508 and 517.
How to find the GCF of 508 and 517?
We will first find the prime factorization of 508 and 517. After we will calculate the factors of 508 and 517 and find the biggest common factor number .
Step-1: Prime Factorization of 508
Prime factors of 508 are 2, 127. Prime factorization of 508 in exponential form is:
508 = 22 × 1271
Step-2: Prime Factorization of 517
Prime factors of 517 are 11, 47. Prime factorization of 517 in exponential form is:
517 = 111 × 471
Step-3: Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254
Step-4: Factors of 517
List of positive integer factors of 517 that divides 508 without a remainder.
1, 11, 47
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 508 and 517. The biggest common factor number is the GCF number.
So the greatest common factor 508 and 517 is 1.
Also check out the Least Common Multiple of 508 and 517
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