What is the Greatest Common Factor of 6935 and 6942?
Greatest common factor (GCF) of 6935 and 6942 is 1.
GCF(6935,6942) = 1
We will now calculate the prime factors of 6935 and 6942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6935 and 6942.
How to find the GCF of 6935 and 6942?
We will first find the prime factorization of 6935 and 6942. After we will calculate the factors of 6935 and 6942 and find the biggest common factor number .
Step-1: Prime Factorization of 6935
Prime factors of 6935 are 5, 19, 73. Prime factorization of 6935 in exponential form is:
6935 = 51 × 191 × 731
Step-2: Prime Factorization of 6942
Prime factors of 6942 are 2, 3, 13, 89. Prime factorization of 6942 in exponential form is:
6942 = 21 × 31 × 131 × 891
Step-3: Factors of 6935
List of positive integer factors of 6935 that divides 6935 without a remainder.
1, 5, 19, 73, 95, 365, 1387
Step-4: Factors of 6942
List of positive integer factors of 6942 that divides 6935 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 6935 and 6942. The biggest common factor number is the GCF number.
So the greatest common factor 6935 and 6942 is 1.
Also check out the Least Common Multiple of 6935 and 6942
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Related Greatest Common Factors of 6942
- GCF of 6942 and 6946
- GCF of 6942 and 6947
- GCF of 6942 and 6948
- GCF of 6942 and 6949
- GCF of 6942 and 6950
- GCF of 6942 and 6951
- GCF of 6942 and 6952
- GCF of 6942 and 6953
- GCF of 6942 and 6954
- GCF of 6942 and 6955
- GCF of 6942 and 6956
- GCF of 6942 and 6957
- GCF of 6942 and 6958
- GCF of 6942 and 6959
- GCF of 6942 and 6960
- GCF of 6942 and 6961
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