What is the Greatest Common Factor of 24548 and 24558?
Greatest common factor (GCF) of 24548 and 24558 is 2.
GCF(24548,24558) = 2
We will now calculate the prime factors of 24548 and 24558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24548 and 24558.
How to find the GCF of 24548 and 24558?
We will first find the prime factorization of 24548 and 24558. After we will calculate the factors of 24548 and 24558 and find the biggest common factor number .
Step-1: Prime Factorization of 24548
Prime factors of 24548 are 2, 17, 19. Prime factorization of 24548 in exponential form is:
24548 = 22 × 171 × 192
Step-2: Prime Factorization of 24558
Prime factors of 24558 are 2, 3, 4093. Prime factorization of 24558 in exponential form is:
24558 = 21 × 31 × 40931
Step-3: Factors of 24548
List of positive integer factors of 24548 that divides 24548 without a remainder.
1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 361, 646, 722, 1292, 1444, 6137, 12274
Step-4: Factors of 24558
List of positive integer factors of 24558 that divides 24548 without a remainder.
1, 2, 3, 6, 4093, 8186, 12279
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24548 and 24558. The biggest common factor number is the GCF number.
So the greatest common factor 24548 and 24558 is 2.
Also check out the Least Common Multiple of 24548 and 24558
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