What is the Greatest Common Factor of 48254 and 48269?
Greatest common factor (GCF) of 48254 and 48269 is 1.
GCF(48254,48269) = 1
We will now calculate the prime factors of 48254 and 48269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48254 and 48269.
How to find the GCF of 48254 and 48269?
We will first find the prime factorization of 48254 and 48269. After we will calculate the factors of 48254 and 48269 and find the biggest common factor number .
Step-1: Prime Factorization of 48254
Prime factors of 48254 are 2, 23, 1049. Prime factorization of 48254 in exponential form is:
48254 = 21 × 231 × 10491
Step-2: Prime Factorization of 48269
Prime factors of 48269 are 13, 47, 79. Prime factorization of 48269 in exponential form is:
48269 = 131 × 471 × 791
Step-3: Factors of 48254
List of positive integer factors of 48254 that divides 48254 without a remainder.
1, 2, 23, 46, 1049, 2098, 24127
Step-4: Factors of 48269
List of positive integer factors of 48269 that divides 48254 without a remainder.
1, 13, 47, 79, 611, 1027, 3713
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 48254 and 48269. The biggest common factor number is the GCF number.
So the greatest common factor 48254 and 48269 is 1.
Also check out the Least Common Multiple of 48254 and 48269
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