What is the Greatest Common Factor of 654 and 668?
Greatest common factor (GCF) of 654 and 668 is 2.
GCF(654,668) = 2
We will now calculate the prime factors of 654 and 668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 654 and 668.
How to find the GCF of 654 and 668?
We will first find the prime factorization of 654 and 668. After we will calculate the factors of 654 and 668 and find the biggest common factor number .
Step-1: Prime Factorization of 654
Prime factors of 654 are 2, 3, 109. Prime factorization of 654 in exponential form is:
654 = 21 × 31 × 1091
Step-2: Prime Factorization of 668
Prime factors of 668 are 2, 167. Prime factorization of 668 in exponential form is:
668 = 22 × 1671
Step-3: Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327
Step-4: Factors of 668
List of positive integer factors of 668 that divides 654 without a remainder.
1, 2, 4, 167, 334
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 654 and 668. The biggest common factor number is the GCF number.
So the greatest common factor 654 and 668 is 2.
Also check out the Least Common Multiple of 654 and 668
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