What is the Greatest Common Factor of 59003 and 59020?
Greatest common factor (GCF) of 59003 and 59020 is 1.
GCF(59003,59020) = 1
We will now calculate the prime factors of 59003 and 59020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59003 and 59020.
How to find the GCF of 59003 and 59020?
We will first find the prime factorization of 59003 and 59020. After we will calculate the factors of 59003 and 59020 and find the biggest common factor number .
Step-1: Prime Factorization of 59003
Prime factors of 59003 are 7, 8429. Prime factorization of 59003 in exponential form is:
59003 = 71 × 84291
Step-2: Prime Factorization of 59020
Prime factors of 59020 are 2, 5, 13, 227. Prime factorization of 59020 in exponential form is:
59020 = 22 × 51 × 131 × 2271
Step-3: Factors of 59003
List of positive integer factors of 59003 that divides 59003 without a remainder.
1, 7, 8429
Step-4: Factors of 59020
List of positive integer factors of 59020 that divides 59003 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 227, 260, 454, 908, 1135, 2270, 2951, 4540, 5902, 11804, 14755, 29510
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59003 and 59020. The biggest common factor number is the GCF number.
So the greatest common factor 59003 and 59020 is 1.
Also check out the Least Common Multiple of 59003 and 59020
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