What is the Greatest Common Factor of 52004 and 52010?
Greatest common factor (GCF) of 52004 and 52010 is 2.
GCF(52004,52010) = 2
We will now calculate the prime factors of 52004 and 52010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52004 and 52010.
How to find the GCF of 52004 and 52010?
We will first find the prime factorization of 52004 and 52010. After we will calculate the factors of 52004 and 52010 and find the biggest common factor number .
Step-1: Prime Factorization of 52004
Prime factors of 52004 are 2, 13001. Prime factorization of 52004 in exponential form is:
52004 = 22 × 130011
Step-2: Prime Factorization of 52010
Prime factors of 52010 are 2, 5, 7, 743. Prime factorization of 52010 in exponential form is:
52010 = 21 × 51 × 71 × 7431
Step-3: Factors of 52004
List of positive integer factors of 52004 that divides 52004 without a remainder.
1, 2, 4, 13001, 26002
Step-4: Factors of 52010
List of positive integer factors of 52010 that divides 52004 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 743, 1486, 3715, 5201, 7430, 10402, 26005
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 52004 and 52010. The biggest common factor number is the GCF number.
So the greatest common factor 52004 and 52010 is 2.
Also check out the Least Common Multiple of 52004 and 52010
Related Greatest Common Factors of 52004
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