What is the Greatest Common Factor of 56 and 84?
Greatest common factor (GCF) of 56 and 84 is 28.
GCF(56,84) = 28
We will now calculate the prime factors of 56 and 84, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56 and 84.
How to find the GCF of 56 and 84?
We will first find the prime factorization of 56 and 84. After we will calculate the factors of 56 and 84 and find the biggest common factor number .
Step-1: Prime Factorization of 56
Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:
56 = 23 × 71
Step-2: Prime Factorization of 84
Prime factors of 84 are 2, 3, 7. Prime factorization of 84 in exponential form is:
84 = 22 × 31 × 71
Step-3: Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28
Step-4: Factors of 84
List of positive integer factors of 84 that divides 56 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 56 and 84. The biggest common factor number is the GCF number.
So the greatest common factor 56 and 84 is 28.
Also check out the Least Common Multiple of 56 and 84