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What is the Greatest Common Factor of 8753 and 8767?

Greatest common factor (GCF) of 8753 and 8767 is 1.

GCF(8753,8767) = 1

We will now calculate the prime factors of 8753 and 8767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8753 and 8767.

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How to find the GCF of 8753 and 8767?

We will first find the prime factorization of 8753 and 8767. After we will calculate the factors of 8753 and 8767 and find the biggest common factor number .

Step-1: Prime Factorization of 8753

Prime factors of 8753 are 8753. Prime factorization of 8753 in exponential form is:

8753 = 87531

Step-2: Prime Factorization of 8767

Prime factors of 8767 are 11, 797. Prime factorization of 8767 in exponential form is:

8767 = 111 × 7971

Step-3: Factors of 8753

List of positive integer factors of 8753 that divides 8753 without a remainder.

1

Step-4: Factors of 8767

List of positive integer factors of 8767 that divides 8753 without a remainder.

1, 11, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8753 and 8767. The biggest common factor number is the GCF number.
So the greatest common factor 8753 and 8767 is 1.

Also check out the Least Common Multiple of 8753 and 8767