What is the Greatest Common Factor of 24769 and 24788?
Greatest common factor (GCF) of 24769 and 24788 is 1.
GCF(24769,24788) = 1
We will now calculate the prime factors of 24769 and 24788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24769 and 24788.
How to find the GCF of 24769 and 24788?
We will first find the prime factorization of 24769 and 24788. After we will calculate the factors of 24769 and 24788 and find the biggest common factor number .
Step-1: Prime Factorization of 24769
Prime factors of 24769 are 17, 31, 47. Prime factorization of 24769 in exponential form is:
24769 = 171 × 311 × 471
Step-2: Prime Factorization of 24788
Prime factors of 24788 are 2, 6197. Prime factorization of 24788 in exponential form is:
24788 = 22 × 61971
Step-3: Factors of 24769
List of positive integer factors of 24769 that divides 24769 without a remainder.
1, 17, 31, 47, 527, 799, 1457
Step-4: Factors of 24788
List of positive integer factors of 24788 that divides 24769 without a remainder.
1, 2, 4, 6197, 12394
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24769 and 24788. The biggest common factor number is the GCF number.
So the greatest common factor 24769 and 24788 is 1.
Also check out the Least Common Multiple of 24769 and 24788
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