What is the Greatest Common Factor of 436 and 456?
Greatest common factor (GCF) of 436 and 456 is 4.
GCF(436,456) = 4
We will now calculate the prime factors of 436 and 456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 436 and 456.
How to find the GCF of 436 and 456?
We will first find the prime factorization of 436 and 456. After we will calculate the factors of 436 and 456 and find the biggest common factor number .
Step-1: Prime Factorization of 436
Prime factors of 436 are 2, 109. Prime factorization of 436 in exponential form is:
436 = 22 × 1091
Step-2: Prime Factorization of 456
Prime factors of 456 are 2, 3, 19. Prime factorization of 456 in exponential form is:
456 = 23 × 31 × 191
Step-3: Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218
Step-4: Factors of 456
List of positive integer factors of 456 that divides 436 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 436 and 456. The biggest common factor number is the GCF number.
So the greatest common factor 436 and 456 is 4.
Also check out the Least Common Multiple of 436 and 456
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