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What is the Greatest Common Factor of 77718 and 77730?

Greatest common factor (GCF) of 77718 and 77730 is 6.

GCF(77718,77730) = 6

We will now calculate the prime factors of 77718 and 77730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77718 and 77730.

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How to find the GCF of 77718 and 77730?

We will first find the prime factorization of 77718 and 77730. After we will calculate the factors of 77718 and 77730 and find the biggest common factor number .

Step-1: Prime Factorization of 77718

Prime factors of 77718 are 2, 3, 12953. Prime factorization of 77718 in exponential form is:

77718 = 21 × 31 × 129531

Step-2: Prime Factorization of 77730

Prime factors of 77730 are 2, 3, 5, 2591. Prime factorization of 77730 in exponential form is:

77730 = 21 × 31 × 51 × 25911

Step-3: Factors of 77718

List of positive integer factors of 77718 that divides 77718 without a remainder.

1, 2, 3, 6, 12953, 25906, 38859

Step-4: Factors of 77730

List of positive integer factors of 77730 that divides 77718 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2591, 5182, 7773, 12955, 15546, 25910, 38865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77718 and 77730. The biggest common factor number is the GCF number.
So the greatest common factor 77718 and 77730 is 6.

Also check out the Least Common Multiple of 77718 and 77730