What is the Greatest Common Factor of 487 and 506?
Greatest common factor (GCF) of 487 and 506 is 1.
GCF(487,506) = 1
We will now calculate the prime factors of 487 and 506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 487 and 506.
How to find the GCF of 487 and 506?
We will first find the prime factorization of 487 and 506. After we will calculate the factors of 487 and 506 and find the biggest common factor number .
Step-1: Prime Factorization of 487
Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:
487 = 4871
Step-2: Prime Factorization of 506
Prime factors of 506 are 2, 11, 23. Prime factorization of 506 in exponential form is:
506 = 21 × 111 × 231
Step-3: Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1
Step-4: Factors of 506
List of positive integer factors of 506 that divides 487 without a remainder.
1, 2, 11, 22, 23, 46, 253
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 487 and 506. The biggest common factor number is the GCF number.
So the greatest common factor 487 and 506 is 1.
Also check out the Least Common Multiple of 487 and 506
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