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What is the Greatest Common Factor of 40494 and 40507?

Greatest common factor (GCF) of 40494 and 40507 is 1.

GCF(40494,40507) = 1

We will now calculate the prime factors of 40494 and 40507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40494 and 40507.

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How to find the GCF of 40494 and 40507?

We will first find the prime factorization of 40494 and 40507. After we will calculate the factors of 40494 and 40507 and find the biggest common factor number .

Step-1: Prime Factorization of 40494

Prime factors of 40494 are 2, 3, 17, 397. Prime factorization of 40494 in exponential form is:

40494 = 21 × 31 × 171 × 3971

Step-2: Prime Factorization of 40507

Prime factors of 40507 are 40507. Prime factorization of 40507 in exponential form is:

40507 = 405071

Step-3: Factors of 40494

List of positive integer factors of 40494 that divides 40494 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 397, 794, 1191, 2382, 6749, 13498, 20247

Step-4: Factors of 40507

List of positive integer factors of 40507 that divides 40494 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40494 and 40507. The biggest common factor number is the GCF number.
So the greatest common factor 40494 and 40507 is 1.

Also check out the Least Common Multiple of 40494 and 40507