What is the Greatest Common Factor of 24984 and 24994?
Greatest common factor (GCF) of 24984 and 24994 is 2.
GCF(24984,24994) = 2
We will now calculate the prime factors of 24984 and 24994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24984 and 24994.
How to find the GCF of 24984 and 24994?
We will first find the prime factorization of 24984 and 24994. After we will calculate the factors of 24984 and 24994 and find the biggest common factor number .
Step-1: Prime Factorization of 24984
Prime factors of 24984 are 2, 3, 347. Prime factorization of 24984 in exponential form is:
24984 = 23 × 32 × 3471
Step-2: Prime Factorization of 24994
Prime factors of 24994 are 2, 12497. Prime factorization of 24994 in exponential form is:
24994 = 21 × 124971
Step-3: Factors of 24984
List of positive integer factors of 24984 that divides 24984 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 6246, 8328, 12492
Step-4: Factors of 24994
List of positive integer factors of 24994 that divides 24984 without a remainder.
1, 2, 12497
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24984 and 24994. The biggest common factor number is the GCF number.
So the greatest common factor 24984 and 24994 is 2.
Also check out the Least Common Multiple of 24984 and 24994
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