What is the Greatest Common Factor of 54998 and 55004?
Greatest common factor (GCF) of 54998 and 55004 is 2.
GCF(54998,55004) = 2
We will now calculate the prime factors of 54998 and 55004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54998 and 55004.
How to find the GCF of 54998 and 55004?
We will first find the prime factorization of 54998 and 55004. After we will calculate the factors of 54998 and 55004 and find the biggest common factor number .
Step-1: Prime Factorization of 54998
Prime factors of 54998 are 2, 107, 257. Prime factorization of 54998 in exponential form is:
54998 = 21 × 1071 × 2571
Step-2: Prime Factorization of 55004
Prime factors of 55004 are 2, 13751. Prime factorization of 55004 in exponential form is:
55004 = 22 × 137511
Step-3: Factors of 54998
List of positive integer factors of 54998 that divides 54998 without a remainder.
1, 2, 107, 214, 257, 514, 27499
Step-4: Factors of 55004
List of positive integer factors of 55004 that divides 54998 without a remainder.
1, 2, 4, 13751, 27502
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54998 and 55004. The biggest common factor number is the GCF number.
So the greatest common factor 54998 and 55004 is 2.
Also check out the Least Common Multiple of 54998 and 55004
Related Greatest Common Factors of 54998
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Related Greatest Common Factors of 55004
- GCF of 55004 and 55008
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- GCF of 55004 and 55013
- GCF of 55004 and 55014
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- GCF of 55004 and 55017
- GCF of 55004 and 55018
- GCF of 55004 and 55019
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- GCF of 55004 and 55024