What is the Greatest Common Factor of 675 and 685?
Greatest common factor (GCF) of 675 and 685 is 5.
GCF(675,685) = 5
We will now calculate the prime factors of 675 and 685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 675 and 685.
How to find the GCF of 675 and 685?
We will first find the prime factorization of 675 and 685. After we will calculate the factors of 675 and 685 and find the biggest common factor number .
Step-1: Prime Factorization of 675
Prime factors of 675 are 3, 5. Prime factorization of 675 in exponential form is:
675 = 33 × 52
Step-2: Prime Factorization of 685
Prime factors of 685 are 5, 137. Prime factorization of 685 in exponential form is:
685 = 51 × 1371
Step-3: Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225
Step-4: Factors of 685
List of positive integer factors of 685 that divides 675 without a remainder.
1, 5, 137
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 675 and 685. The biggest common factor number is the GCF number.
So the greatest common factor 675 and 685 is 5.
Also check out the Least Common Multiple of 675 and 685
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