What is the Greatest Common Factor of 426 and 435?
Greatest common factor (GCF) of 426 and 435 is 3.
GCF(426,435) = 3
We will now calculate the prime factors of 426 and 435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 426 and 435.
How to find the GCF of 426 and 435?
We will first find the prime factorization of 426 and 435. After we will calculate the factors of 426 and 435 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 435
Prime factors of 435 are 3, 5, 29. Prime factorization of 435 in exponential form is:
435 = 31 × 51 × 291
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 435
List of positive integer factors of 435 that divides 426 without a remainder.
1, 3, 5, 15, 29, 87, 145
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 426 and 435. The biggest common factor number is the GCF number.
So the greatest common factor 426 and 435 is 3.
Also check out the Least Common Multiple of 426 and 435
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