What is the Greatest Common Factor of 467 and 475?
Greatest common factor (GCF) of 467 and 475 is 1.
GCF(467,475) = 1
We will now calculate the prime factors of 467 and 475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 467 and 475.
How to find the GCF of 467 and 475?
We will first find the prime factorization of 467 and 475. After we will calculate the factors of 467 and 475 and find the biggest common factor number .
Step-1: Prime Factorization of 467
Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:
467 = 4671
Step-2: Prime Factorization of 475
Prime factors of 475 are 5, 19. Prime factorization of 475 in exponential form is:
475 = 52 × 191
Step-3: Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1
Step-4: Factors of 475
List of positive integer factors of 475 that divides 467 without a remainder.
1, 5, 19, 25, 95
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 467 and 475. The biggest common factor number is the GCF number.
So the greatest common factor 467 and 475 is 1.
Also check out the Least Common Multiple of 467 and 475
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