What is the Greatest Common Factor of 460 and 473?
Greatest common factor (GCF) of 460 and 473 is 1.
GCF(460,473) = 1
We will now calculate the prime factors of 460 and 473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 460 and 473.
How to find the GCF of 460 and 473?
We will first find the prime factorization of 460 and 473. After we will calculate the factors of 460 and 473 and find the biggest common factor number .
Step-1: Prime Factorization of 460
Prime factors of 460 are 2, 5, 23. Prime factorization of 460 in exponential form is:
460 = 22 × 51 × 231
Step-2: Prime Factorization of 473
Prime factors of 473 are 11, 43. Prime factorization of 473 in exponential form is:
473 = 111 × 431
Step-3: Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230
Step-4: Factors of 473
List of positive integer factors of 473 that divides 460 without a remainder.
1, 11, 43
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 460 and 473. The biggest common factor number is the GCF number.
So the greatest common factor 460 and 473 is 1.
Also check out the Least Common Multiple of 460 and 473
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