What is the Greatest Common Factor of 54962 and 54982?
Greatest common factor (GCF) of 54962 and 54982 is 2.
GCF(54962,54982) = 2
We will now calculate the prime factors of 54962 and 54982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54962 and 54982.
How to find the GCF of 54962 and 54982?
We will first find the prime factorization of 54962 and 54982. After we will calculate the factors of 54962 and 54982 and find the biggest common factor number .
Step-1: Prime Factorization of 54962
Prime factors of 54962 are 2, 27481. Prime factorization of 54962 in exponential form is:
54962 = 21 × 274811
Step-2: Prime Factorization of 54982
Prime factors of 54982 are 2, 37, 743. Prime factorization of 54982 in exponential form is:
54982 = 21 × 371 × 7431
Step-3: Factors of 54962
List of positive integer factors of 54962 that divides 54962 without a remainder.
1, 2, 27481
Step-4: Factors of 54982
List of positive integer factors of 54982 that divides 54962 without a remainder.
1, 2, 37, 74, 743, 1486, 27491
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54962 and 54982. The biggest common factor number is the GCF number.
So the greatest common factor 54962 and 54982 is 2.
Also check out the Least Common Multiple of 54962 and 54982
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Related Greatest Common Factors of 54982
- GCF of 54982 and 54986
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