What is the Greatest Common Factor of 252 and 257?
Greatest common factor (GCF) of 252 and 257 is 1.
GCF(252,257) = 1
We will now calculate the prime factors of 252 and 257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 252 and 257.
How to find the GCF of 252 and 257?
We will first find the prime factorization of 252 and 257. After we will calculate the factors of 252 and 257 and find the biggest common factor number .
Step-1: Prime Factorization of 252
Prime factors of 252 are 2, 3, 7. Prime factorization of 252 in exponential form is:
252 = 22 × 32 × 71
Step-2: Prime Factorization of 257
Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:
257 = 2571
Step-3: Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126
Step-4: Factors of 257
List of positive integer factors of 257 that divides 252 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 252 and 257. The biggest common factor number is the GCF number.
So the greatest common factor 252 and 257 is 1.
Also check out the Least Common Multiple of 252 and 257
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