What is the Greatest Common Factor of 470 and 485?
Greatest common factor (GCF) of 470 and 485 is 5.
GCF(470,485) = 5
We will now calculate the prime factors of 470 and 485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 470 and 485.
How to find the GCF of 470 and 485?
We will first find the prime factorization of 470 and 485. After we will calculate the factors of 470 and 485 and find the biggest common factor number .
Step-1: Prime Factorization of 470
Prime factors of 470 are 2, 5, 47. Prime factorization of 470 in exponential form is:
470 = 21 × 51 × 471
Step-2: Prime Factorization of 485
Prime factors of 485 are 5, 97. Prime factorization of 485 in exponential form is:
485 = 51 × 971
Step-3: Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235
Step-4: Factors of 485
List of positive integer factors of 485 that divides 470 without a remainder.
1, 5, 97
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 470 and 485. The biggest common factor number is the GCF number.
So the greatest common factor 470 and 485 is 5.
Also check out the Least Common Multiple of 470 and 485
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Related Greatest Common Factors of 485
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