What is the Greatest Common Factor of 208 and 220?
Greatest common factor (GCF) of 208 and 220 is 4.
GCF(208,220) = 4
We will now calculate the prime factors of 208 and 220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 208 and 220.
How to find the GCF of 208 and 220?
We will first find the prime factorization of 208 and 220. After we will calculate the factors of 208 and 220 and find the biggest common factor number .
Step-1: Prime Factorization of 208
Prime factors of 208 are 2, 13. Prime factorization of 208 in exponential form is:
208 = 24 × 131
Step-2: Prime Factorization of 220
Prime factors of 220 are 2, 5, 11. Prime factorization of 220 in exponential form is:
220 = 22 × 51 × 111
Step-3: Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104
Step-4: Factors of 220
List of positive integer factors of 220 that divides 208 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 208 and 220. The biggest common factor number is the GCF number.
So the greatest common factor 208 and 220 is 4.
Also check out the Least Common Multiple of 208 and 220
Related Greatest Common Factors of 208
- GCF of 208 and 212
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Related Greatest Common Factors of 220
- GCF of 220 and 224
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