What is the Greatest Common Factor of 14248 and 14253?
Greatest common factor (GCF) of 14248 and 14253 is 1.
GCF(14248,14253) = 1
We will now calculate the prime factors of 14248 and 14253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14248 and 14253.
How to find the GCF of 14248 and 14253?
We will first find the prime factorization of 14248 and 14253. After we will calculate the factors of 14248 and 14253 and find the biggest common factor number .
Step-1: Prime Factorization of 14248
Prime factors of 14248 are 2, 13, 137. Prime factorization of 14248 in exponential form is:
14248 = 23 × 131 × 1371
Step-2: Prime Factorization of 14253
Prime factors of 14253 are 3, 4751. Prime factorization of 14253 in exponential form is:
14253 = 31 × 47511
Step-3: Factors of 14248
List of positive integer factors of 14248 that divides 14248 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104, 137, 274, 548, 1096, 1781, 3562, 7124
Step-4: Factors of 14253
List of positive integer factors of 14253 that divides 14248 without a remainder.
1, 3, 4751
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 14248 and 14253. The biggest common factor number is the GCF number.
So the greatest common factor 14248 and 14253 is 1.
Also check out the Least Common Multiple of 14248 and 14253
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