What is the Greatest Common Factor of 418 and 428?
Greatest common factor (GCF) of 418 and 428 is 2.
GCF(418,428) = 2
We will now calculate the prime factors of 418 and 428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 418 and 428.
How to find the GCF of 418 and 428?
We will first find the prime factorization of 418 and 428. After we will calculate the factors of 418 and 428 and find the biggest common factor number .
Step-1: Prime Factorization of 418
Prime factors of 418 are 2, 11, 19. Prime factorization of 418 in exponential form is:
418 = 21 × 111 × 191
Step-2: Prime Factorization of 428
Prime factors of 428 are 2, 107. Prime factorization of 428 in exponential form is:
428 = 22 × 1071
Step-3: Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209
Step-4: Factors of 428
List of positive integer factors of 428 that divides 418 without a remainder.
1, 2, 4, 107, 214
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 418 and 428. The biggest common factor number is the GCF number.
So the greatest common factor 418 and 428 is 2.
Also check out the Least Common Multiple of 418 and 428
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