What is the Greatest Common Factor of 420 and 440?
Greatest common factor (GCF) of 420 and 440 is 20.
GCF(420,440) = 20
We will now calculate the prime factors of 420 and 440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 420 and 440.
How to find the GCF of 420 and 440?
We will first find the prime factorization of 420 and 440. After we will calculate the factors of 420 and 440 and find the biggest common factor number .
Step-1: Prime Factorization of 420
Prime factors of 420 are 2, 3, 5, 7. Prime factorization of 420 in exponential form is:
420 = 22 × 31 × 51 × 71
Step-2: Prime Factorization of 440
Prime factors of 440 are 2, 5, 11. Prime factorization of 440 in exponential form is:
440 = 23 × 51 × 111
Step-3: Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210
Step-4: Factors of 440
List of positive integer factors of 440 that divides 420 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 420 and 440. The biggest common factor number is the GCF number.
So the greatest common factor 420 and 440 is 20.
Also check out the Least Common Multiple of 420 and 440
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