What is the Greatest Common Factor of 69790 and 69804?
Greatest common factor (GCF) of 69790 and 69804 is 14.
GCF(69790,69804) = 14
We will now calculate the prime factors of 69790 and 69804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69790 and 69804.
How to find the GCF of 69790 and 69804?
We will first find the prime factorization of 69790 and 69804. After we will calculate the factors of 69790 and 69804 and find the biggest common factor number .
Step-1: Prime Factorization of 69790
Prime factors of 69790 are 2, 5, 7, 997. Prime factorization of 69790 in exponential form is:
69790 = 21 × 51 × 71 × 9971
Step-2: Prime Factorization of 69804
Prime factors of 69804 are 2, 3, 7, 277. Prime factorization of 69804 in exponential form is:
69804 = 22 × 32 × 71 × 2771
Step-3: Factors of 69790
List of positive integer factors of 69790 that divides 69790 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 997, 1994, 4985, 6979, 9970, 13958, 34895
Step-4: Factors of 69804
List of positive integer factors of 69804 that divides 69790 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 277, 554, 831, 1108, 1662, 1939, 2493, 3324, 3878, 4986, 5817, 7756, 9972, 11634, 17451, 23268, 34902
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 69790 and 69804. The biggest common factor number is the GCF number.
So the greatest common factor 69790 and 69804 is 14.
Also check out the Least Common Multiple of 69790 and 69804
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