What is the Greatest Common Factor of 426 and 444?
Greatest common factor (GCF) of 426 and 444 is 6.
GCF(426,444) = 6
We will now calculate the prime factors of 426 and 444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 426 and 444.
How to find the GCF of 426 and 444?
We will first find the prime factorization of 426 and 444. After we will calculate the factors of 426 and 444 and find the biggest common factor number .
Step-1: Prime Factorization of 426
Prime factors of 426 are 2, 3, 71. Prime factorization of 426 in exponential form is:
426 = 21 × 31 × 711
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 426
List of positive integer factors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213
Step-4: Factors of 444
List of positive integer factors of 444 that divides 426 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 426 and 444. The biggest common factor number is the GCF number.
So the greatest common factor 426 and 444 is 6.
Also check out the Least Common Multiple of 426 and 444
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