What is the Greatest Common Factor of 890 and 906?
Greatest common factor (GCF) of 890 and 906 is 2.
GCF(890,906) = 2
We will now calculate the prime factors of 890 and 906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 890 and 906.
How to find the GCF of 890 and 906?
We will first find the prime factorization of 890 and 906. After we will calculate the factors of 890 and 906 and find the biggest common factor number .
Step-1: Prime Factorization of 890
Prime factors of 890 are 2, 5, 89. Prime factorization of 890 in exponential form is:
890 = 21 × 51 × 891
Step-2: Prime Factorization of 906
Prime factors of 906 are 2, 3, 151. Prime factorization of 906 in exponential form is:
906 = 21 × 31 × 1511
Step-3: Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445
Step-4: Factors of 906
List of positive integer factors of 906 that divides 890 without a remainder.
1, 2, 3, 6, 151, 302, 453
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 890 and 906. The biggest common factor number is the GCF number.
So the greatest common factor 890 and 906 is 2.
Also check out the Least Common Multiple of 890 and 906
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