What is the Greatest Common Factor of 10950 and 10970?
Greatest common factor (GCF) of 10950 and 10970 is 10.
GCF(10950,10970) = 10
We will now calculate the prime factors of 10950 and 10970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10950 and 10970.
How to find the GCF of 10950 and 10970?
We will first find the prime factorization of 10950 and 10970. After we will calculate the factors of 10950 and 10970 and find the biggest common factor number .
Step-1: Prime Factorization of 10950
Prime factors of 10950 are 2, 3, 5, 73. Prime factorization of 10950 in exponential form is:
10950 = 21 × 31 × 52 × 731
Step-2: 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-3: Factors of 10950
List of positive integer factors of 10950 that divides 10950 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 73, 75, 146, 150, 219, 365, 438, 730, 1095, 1825, 2190, 3650, 5475
Step-4: Factors of 10970
List of positive integer factors of 10970 that divides 10950 without a remainder.
1, 2, 5, 10, 1097, 2194, 5485
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10950 and 10970. The biggest common factor number is the GCF number.
So the greatest common factor 10950 and 10970 is 10.
Also check out the Least Common Multiple of 10950 and 10970
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