What is the Greatest Common Factor of 902 and 916?
Greatest common factor (GCF) of 902 and 916 is 2.
GCF(902,916) = 2
We will now calculate the prime factors of 902 and 916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 902 and 916.
How to find the GCF of 902 and 916?
We will first find the prime factorization of 902 and 916. After we will calculate the factors of 902 and 916 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 916
Prime factors of 916 are 2, 229. Prime factorization of 916 in exponential form is:
916 = 22 × 2291
Step-3: Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451
Step-4: Factors of 916
List of positive integer factors of 916 that divides 902 without a remainder.
1, 2, 4, 229, 458
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 902 and 916. The biggest common factor number is the GCF number.
So the greatest common factor 902 and 916 is 2.
Also check out the Least Common Multiple of 902 and 916
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