What is the Greatest Common Factor of 10970 and 10985?
Greatest common factor (GCF) of 10970 and 10985 is 5.
GCF(10970,10985) = 5
We will now calculate the prime factors of 10970 and 10985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10970 and 10985.
How to find the GCF of 10970 and 10985?
We will first find the prime factorization of 10970 and 10985. After we will calculate the factors of 10970 and 10985 and find the biggest common factor number .
Step-1: Prime Factorization of 10970
Prime factors of 10970 are 2, 5, 1097. Prime factorization of 10970 in exponential form is:
10970 = 21 × 51 × 10971
Step-2: Prime Factorization of 10985
Prime factors of 10985 are 5, 13. Prime factorization of 10985 in exponential form is:
10985 = 51 × 133
Step-3: Factors of 10970
List of positive integer factors of 10970 that divides 10970 without a remainder.
1, 2, 5, 10, 1097, 2194, 5485
Step-4: Factors of 10985
List of positive integer factors of 10985 that divides 10970 without a remainder.
1, 5, 13, 65, 169, 845, 2197
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10970 and 10985. The biggest common factor number is the GCF number.
So the greatest common factor 10970 and 10985 is 5.
Also check out the Least Common Multiple of 10970 and 10985
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