What is the Greatest Common Factor of 4854 and 4874?
Greatest common factor (GCF) of 4854 and 4874 is 2.
GCF(4854,4874) = 2
We will now calculate the prime factors of 4854 and 4874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4854 and 4874.
How to find the GCF of 4854 and 4874?
We will first find the prime factorization of 4854 and 4874. After we will calculate the factors of 4854 and 4874 and find the biggest common factor number .
Step-1: Prime Factorization of 4854
Prime factors of 4854 are 2, 3, 809. Prime factorization of 4854 in exponential form is:
4854 = 21 × 31 × 8091
Step-2: Prime Factorization of 4874
Prime factors of 4874 are 2, 2437. Prime factorization of 4874 in exponential form is:
4874 = 21 × 24371
Step-3: Factors of 4854
List of positive integer factors of 4854 that divides 4854 without a remainder.
1, 2, 3, 6, 809, 1618, 2427
Step-4: Factors of 4874
List of positive integer factors of 4874 that divides 4854 without a remainder.
1, 2, 2437
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 4854 and 4874. The biggest common factor number is the GCF number.
So the greatest common factor 4854 and 4874 is 2.
Also check out the Least Common Multiple of 4854 and 4874
Related Greatest Common Factors of 4854
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Related Greatest Common Factors of 4874
- GCF of 4874 and 4878
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- GCF of 4874 and 4889
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