What is the Greatest Common Factor of 428 and 444?
Greatest common factor (GCF) of 428 and 444 is 4.
GCF(428,444) = 4
We will now calculate the prime factors of 428 and 444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 428 and 444.
How to find the GCF of 428 and 444?
We will first find the prime factorization of 428 and 444. After we will calculate the factors of 428 and 444 and find the biggest common factor number .
Step-1: Prime Factorization of 428
Prime factors of 428 are 2, 107. Prime factorization of 428 in exponential form is:
428 = 22 × 1071
Step-2: Prime Factorization of 444
Prime factors of 444 are 2, 3, 37. Prime factorization of 444 in exponential form is:
444 = 22 × 31 × 371
Step-3: Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214
Step-4: Factors of 444
List of positive integer factors of 444 that divides 428 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 428 and 444. The biggest common factor number is the GCF number.
So the greatest common factor 428 and 444 is 4.
Also check out the Least Common Multiple of 428 and 444
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