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What is the Greatest Common Factor of 77977 and 77982?

Greatest common factor (GCF) of 77977 and 77982 is 1.

GCF(77977,77982) = 1

We will now calculate the prime factors of 77977 and 77982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77977 and 77982.

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How to find the GCF of 77977 and 77982?

We will first find the prime factorization of 77977 and 77982. After we will calculate the factors of 77977 and 77982 and find the biggest common factor number .

Step-1: Prime Factorization of 77977

Prime factors of 77977 are 77977. Prime factorization of 77977 in exponential form is:

77977 = 779771

Step-2: Prime Factorization of 77982

Prime factors of 77982 are 2, 3, 41, 317. Prime factorization of 77982 in exponential form is:

77982 = 21 × 31 × 411 × 3171

Step-3: Factors of 77977

List of positive integer factors of 77977 that divides 77977 without a remainder.

1

Step-4: Factors of 77982

List of positive integer factors of 77982 that divides 77977 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 317, 634, 951, 1902, 12997, 25994, 38991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77977 and 77982. The biggest common factor number is the GCF number.
So the greatest common factor 77977 and 77982 is 1.

Also check out the Least Common Multiple of 77977 and 77982