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What is the Greatest Common Factor of 70785 and 70793?

Greatest common factor (GCF) of 70785 and 70793 is 1.

GCF(70785,70793) = 1

We will now calculate the prime factors of 70785 and 70793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70785 and 70793.

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How to find the GCF of 70785 and 70793?

We will first find the prime factorization of 70785 and 70793. After we will calculate the factors of 70785 and 70793 and find the biggest common factor number .

Step-1: Prime Factorization of 70785

Prime factors of 70785 are 3, 5, 11, 13. Prime factorization of 70785 in exponential form is:

70785 = 32 × 51 × 112 × 131

Step-2: Prime Factorization of 70793

Prime factors of 70793 are 70793. Prime factorization of 70793 in exponential form is:

70793 = 707931

Step-3: Factors of 70785

List of positive integer factors of 70785 that divides 70785 without a remainder.

1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 121, 143, 165, 195, 363, 429, 495, 585, 605, 715, 1089, 1287, 1573, 1815, 2145, 4719, 5445, 6435, 7865, 14157, 23595

Step-4: Factors of 70793

List of positive integer factors of 70793 that divides 70785 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70785 and 70793. The biggest common factor number is the GCF number.
So the greatest common factor 70785 and 70793 is 1.

Also check out the Least Common Multiple of 70785 and 70793