What is the Greatest Common Factor of 882 and 902?
Greatest common factor (GCF) of 882 and 902 is 2.
GCF(882,902) = 2
We will now calculate the prime factors of 882 and 902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 882 and 902.
How to find the GCF of 882 and 902?
We will first find the prime factorization of 882 and 902. After we will calculate the factors of 882 and 902 and find the biggest common factor number .
Step-1: Prime Factorization of 882
Prime factors of 882 are 2, 3, 7. Prime factorization of 882 in exponential form is:
882 = 21 × 32 × 72
Step-2: Prime Factorization of 902
Prime factors of 902 are 2, 11, 41. Prime factorization of 902 in exponential form is:
902 = 21 × 111 × 411
Step-3: Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441
Step-4: Factors of 902
List of positive integer factors of 902 that divides 882 without a remainder.
1, 2, 11, 22, 41, 82, 451
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 882 and 902. The biggest common factor number is the GCF number.
So the greatest common factor 882 and 902 is 2.
Also check out the Least Common Multiple of 882 and 902
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