What is the Greatest Common Factor of 48 and 170?
Greatest common factor (GCF) of 48 and 170 is 2.
GCF(48,170) = 2
We will now calculate the prime factors of 48 and 170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48 and 170.
How to find the GCF of 48 and 170?
We will first find the prime factorization of 48 and 170. After we will calculate the factors of 48 and 170 and find the biggest common factor number .
Step-1: Prime Factorization of 48
Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:
48 = 24 × 31
Step-2: Prime Factorization of 170
Prime factors of 170 are 2, 5, 17. Prime factorization of 170 in exponential form is:
170 = 21 × 51 × 171
Step-3: Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24
Step-4: Factors of 170
List of positive integer factors of 170 that divides 48 without a remainder.
1, 2, 5, 10, 17, 34, 85
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 48 and 170. The biggest common factor number is the GCF number.
So the greatest common factor 48 and 170 is 2.
Also check out the Least Common Multiple of 48 and 170
Related Greatest Common Factors of 48
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