What is the Greatest Common Factor of 10020 and 10037?
Greatest common factor (GCF) of 10020 and 10037 is 1.
GCF(10020,10037) = 1
We will now calculate the prime factors of 10020 and 10037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10020 and 10037.
How to find the GCF of 10020 and 10037?
We will first find the prime factorization of 10020 and 10037. After we will calculate the factors of 10020 and 10037 and find the biggest common factor number .
Step-1: Prime Factorization of 10020
Prime factors of 10020 are 2, 3, 5, 167. Prime factorization of 10020 in exponential form is:
10020 = 22 × 31 × 51 × 1671
Step-2: Prime Factorization of 10037
Prime factors of 10037 are 10037. Prime factorization of 10037 in exponential form is:
10037 = 100371
Step-3: Factors of 10020
List of positive integer factors of 10020 that divides 10020 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010
Step-4: Factors of 10037
List of positive integer factors of 10037 that divides 10020 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10020 and 10037. The biggest common factor number is the GCF number.
So the greatest common factor 10020 and 10037 is 1.
Also check out the Least Common Multiple of 10020 and 10037
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