What is the Greatest Common Factor of 10945 and 10962?
Greatest common factor (GCF) of 10945 and 10962 is 1.
GCF(10945,10962) = 1
We will now calculate the prime factors of 10945 and 10962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10945 and 10962.
How to find the GCF of 10945 and 10962?
We will first find the prime factorization of 10945 and 10962. After we will calculate the factors of 10945 and 10962 and find the biggest common factor number .
Step-1: Prime Factorization of 10945
Prime factors of 10945 are 5, 11, 199. Prime factorization of 10945 in exponential form is:
10945 = 51 × 111 × 1991
Step-2: Prime Factorization of 10962
Prime factors of 10962 are 2, 3, 7, 29. Prime factorization of 10962 in exponential form is:
10962 = 21 × 33 × 71 × 291
Step-3: Factors of 10945
List of positive integer factors of 10945 that divides 10945 without a remainder.
1, 5, 11, 55, 199, 995, 2189
Step-4: Factors of 10962
List of positive integer factors of 10962 that divides 10945 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 29, 42, 54, 58, 63, 87, 126, 174, 189, 203, 261, 378, 406, 522, 609, 783, 1218, 1566, 1827, 3654, 5481
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10945 and 10962. The biggest common factor number is the GCF number.
So the greatest common factor 10945 and 10962 is 1.
Also check out the Least Common Multiple of 10945 and 10962
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Related Greatest Common Factors of 10962
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