What is the Greatest Common Factor of 52270 and 52280?
Greatest common factor (GCF) of 52270 and 52280 is 10.
GCF(52270,52280) = 10
We will now calculate the prime factors of 52270 and 52280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52270 and 52280.
How to find the GCF of 52270 and 52280?
We will first find the prime factorization of 52270 and 52280. After we will calculate the factors of 52270 and 52280 and find the biggest common factor number .
Step-1: Prime Factorization of 52270
Prime factors of 52270 are 2, 5, 5227. Prime factorization of 52270 in exponential form is:
52270 = 21 × 51 × 52271
Step-2: Prime Factorization of 52280
Prime factors of 52280 are 2, 5, 1307. Prime factorization of 52280 in exponential form is:
52280 = 23 × 51 × 13071
Step-3: Factors of 52270
List of positive integer factors of 52270 that divides 52270 without a remainder.
1, 2, 5, 10, 5227, 10454, 26135
Step-4: Factors of 52280
List of positive integer factors of 52280 that divides 52270 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 1307, 2614, 5228, 6535, 10456, 13070, 26140
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 52270 and 52280. The biggest common factor number is the GCF number.
So the greatest common factor 52270 and 52280 is 10.
Also check out the Least Common Multiple of 52270 and 52280
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