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What is the Greatest Common Factor of 77359 and 77370?

Greatest common factor (GCF) of 77359 and 77370 is 1.

GCF(77359,77370) = 1

We will now calculate the prime factors of 77359 and 77370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77359 and 77370.

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How to find the GCF of 77359 and 77370?

We will first find the prime factorization of 77359 and 77370. After we will calculate the factors of 77359 and 77370 and find the biggest common factor number .

Step-1: Prime Factorization of 77359

Prime factors of 77359 are 77359. Prime factorization of 77359 in exponential form is:

77359 = 773591

Step-2: Prime Factorization of 77370

Prime factors of 77370 are 2, 3, 5, 2579. Prime factorization of 77370 in exponential form is:

77370 = 21 × 31 × 51 × 25791

Step-3: Factors of 77359

List of positive integer factors of 77359 that divides 77359 without a remainder.

1

Step-4: Factors of 77370

List of positive integer factors of 77370 that divides 77359 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2579, 5158, 7737, 12895, 15474, 25790, 38685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77359 and 77370. The biggest common factor number is the GCF number.
So the greatest common factor 77359 and 77370 is 1.

Also check out the Least Common Multiple of 77359 and 77370