What is the Greatest Common Factor of 16954 and 16968?
Greatest common factor (GCF) of 16954 and 16968 is 14.
GCF(16954,16968) = 14
We will now calculate the prime factors of 16954 and 16968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16954 and 16968.
How to find the GCF of 16954 and 16968?
We will first find the prime factorization of 16954 and 16968. After we will calculate the factors of 16954 and 16968 and find the biggest common factor number .
Step-1: Prime Factorization of 16954
Prime factors of 16954 are 2, 7, 173. Prime factorization of 16954 in exponential form is:
16954 = 21 × 72 × 1731
Step-2: Prime Factorization of 16968
Prime factors of 16968 are 2, 3, 7, 101. Prime factorization of 16968 in exponential form is:
16968 = 23 × 31 × 71 × 1011
Step-3: Factors of 16954
List of positive integer factors of 16954 that divides 16954 without a remainder.
1, 2, 7, 14, 49, 98, 173, 346, 1211, 2422, 8477
Step-4: Factors of 16968
List of positive integer factors of 16968 that divides 16954 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 101, 168, 202, 303, 404, 606, 707, 808, 1212, 1414, 2121, 2424, 2828, 4242, 5656, 8484
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16954 and 16968. The biggest common factor number is the GCF number.
So the greatest common factor 16954 and 16968 is 14.
Also check out the Least Common Multiple of 16954 and 16968
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Related Greatest Common Factors of 16968
- GCF of 16968 and 16972
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- GCF of 16968 and 16977
- GCF of 16968 and 16978
- GCF of 16968 and 16979
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- GCF of 16968 and 16982
- GCF of 16968 and 16983
- GCF of 16968 and 16984
- GCF of 16968 and 16985
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