What is the Greatest Common Factor of 685 and 700?
Greatest common factor (GCF) of 685 and 700 is 5.
GCF(685,700) = 5
We will now calculate the prime factors of 685 and 700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 685 and 700.
How to find the GCF of 685 and 700?
We will first find the prime factorization of 685 and 700. After we will calculate the factors of 685 and 700 and find the biggest common factor number .
Step-1: Prime Factorization of 685
Prime factors of 685 are 5, 137. Prime factorization of 685 in exponential form is:
685 = 51 × 1371
Step-2: Prime Factorization of 700
Prime factors of 700 are 2, 5, 7. Prime factorization of 700 in exponential form is:
700 = 22 × 52 × 71
Step-3: Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1, 5, 137
Step-4: Factors of 700
List of positive integer factors of 700 that divides 685 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 685 and 700. The biggest common factor number is the GCF number.
So the greatest common factor 685 and 700 is 5.
Also check out the Least Common Multiple of 685 and 700
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