What is the Greatest Common Factor of 1692 and 1701?
Greatest common factor (GCF) of 1692 and 1701 is 9.
GCF(1692,1701) = 9
We will now calculate the prime factors of 1692 and 1701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1692 and 1701.
How to find the GCF of 1692 and 1701?
We will first find the prime factorization of 1692 and 1701. After we will calculate the factors of 1692 and 1701 and find the biggest common factor number .
Step-1: Prime Factorization of 1692
Prime factors of 1692 are 2, 3, 47. Prime factorization of 1692 in exponential form is:
1692 = 22 × 32 × 471
Step-2: Prime Factorization of 1701
Prime factors of 1701 are 3, 7. Prime factorization of 1701 in exponential form is:
1701 = 35 × 71
Step-3: Factors of 1692
List of positive integer factors of 1692 that divides 1692 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846
Step-4: Factors of 1701
List of positive integer factors of 1701 that divides 1692 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1692 and 1701. The biggest common factor number is the GCF number.
So the greatest common factor 1692 and 1701 is 9.
Also check out the Least Common Multiple of 1692 and 1701
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