What is the Greatest Common Factor of 890 and 910?
Greatest common factor (GCF) of 890 and 910 is 10.
GCF(890,910) = 10
We will now calculate the prime factors of 890 and 910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 890 and 910.
How to find the GCF of 890 and 910?
We will first find the prime factorization of 890 and 910. After we will calculate the factors of 890 and 910 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 910
Prime factors of 910 are 2, 5, 7, 13. Prime factorization of 910 in exponential form is:
910 = 21 × 51 × 71 × 131
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 910
List of positive integer factors of 910 that divides 890 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 890 and 910. The biggest common factor number is the GCF number.
So the greatest common factor 890 and 910 is 10.
Also check out the Least Common Multiple of 890 and 910
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