What is the Greatest Common Factor of 42020 and 42040?
Greatest common factor (GCF) of 42020 and 42040 is 20.
GCF(42020,42040) = 20
We will now calculate the prime factors of 42020 and 42040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42020 and 42040.
How to find the GCF of 42020 and 42040?
We will first find the prime factorization of 42020 and 42040. After we will calculate the factors of 42020 and 42040 and find the biggest common factor number .
Step-1: Prime Factorization of 42020
Prime factors of 42020 are 2, 5, 11, 191. Prime factorization of 42020 in exponential form is:
42020 = 22 × 51 × 111 × 1911
Step-2: Prime Factorization of 42040
Prime factors of 42040 are 2, 5, 1051. Prime factorization of 42040 in exponential form is:
42040 = 23 × 51 × 10511
Step-3: Factors of 42020
List of positive integer factors of 42020 that divides 42020 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 191, 220, 382, 764, 955, 1910, 2101, 3820, 4202, 8404, 10505, 21010
Step-4: Factors of 42040
List of positive integer factors of 42040 that divides 42020 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 1051, 2102, 4204, 5255, 8408, 10510, 21020
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 42020 and 42040. The biggest common factor number is the GCF number.
So the greatest common factor 42020 and 42040 is 20.
Also check out the Least Common Multiple of 42020 and 42040
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