What is the Greatest Common Factor of 658 and 670?
Greatest common factor (GCF) of 658 and 670 is 2.
GCF(658,670) = 2
We will now calculate the prime factors of 658 and 670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 658 and 670.
How to find the GCF of 658 and 670?
We will first find the prime factorization of 658 and 670. After we will calculate the factors of 658 and 670 and find the biggest common factor number .
Step-1: Prime Factorization of 658
Prime factors of 658 are 2, 7, 47. Prime factorization of 658 in exponential form is:
658 = 21 × 71 × 471
Step-2: Prime Factorization of 670
Prime factors of 670 are 2, 5, 67. Prime factorization of 670 in exponential form is:
670 = 21 × 51 × 671
Step-3: Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329
Step-4: Factors of 670
List of positive integer factors of 670 that divides 658 without a remainder.
1, 2, 5, 10, 67, 134, 335
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 658 and 670. The biggest common factor number is the GCF number.
So the greatest common factor 658 and 670 is 2.
Also check out the Least Common Multiple of 658 and 670
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