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What is the Greatest Common Factor of 40733 and 40753?

Greatest common factor (GCF) of 40733 and 40753 is 1.

GCF(40733,40753) = 1

We will now calculate the prime factors of 40733 and 40753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40733 and 40753.

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How to find the GCF of 40733 and 40753?

We will first find the prime factorization of 40733 and 40753. After we will calculate the factors of 40733 and 40753 and find the biggest common factor number .

Step-1: Prime Factorization of 40733

Prime factors of 40733 are 7, 11, 23. Prime factorization of 40733 in exponential form is:

40733 = 71 × 111 × 232

Step-2: Prime Factorization of 40753

Prime factors of 40753 are 83, 491. Prime factorization of 40753 in exponential form is:

40753 = 831 × 4911

Step-3: Factors of 40733

List of positive integer factors of 40733 that divides 40733 without a remainder.

1, 7, 11, 23, 77, 161, 253, 529, 1771, 3703, 5819

Step-4: Factors of 40753

List of positive integer factors of 40753 that divides 40733 without a remainder.

1, 83, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40733 and 40753. The biggest common factor number is the GCF number.
So the greatest common factor 40733 and 40753 is 1.

Also check out the Least Common Multiple of 40733 and 40753