What is the Greatest Common Factor of 242 and 250?
Greatest common factor (GCF) of 242 and 250 is 2.
GCF(242,250) = 2
We will now calculate the prime factors of 242 and 250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 242 and 250.
How to find the GCF of 242 and 250?
We will first find the prime factorization of 242 and 250. After we will calculate the factors of 242 and 250 and find the biggest common factor number .
Step-1: Prime Factorization of 242
Prime factors of 242 are 2, 11. Prime factorization of 242 in exponential form is:
242 = 21 × 112
Step-2: Prime Factorization of 250
Prime factors of 250 are 2, 5. Prime factorization of 250 in exponential form is:
250 = 21 × 53
Step-3: Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121
Step-4: Factors of 250
List of positive integer factors of 250 that divides 242 without a remainder.
1, 2, 5, 10, 25, 50, 125
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 242 and 250. The biggest common factor number is the GCF number.
So the greatest common factor 242 and 250 is 2.
Also check out the Least Common Multiple of 242 and 250
Related Greatest Common Factors of 242
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