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What is the Greatest Common Factor of 29671 and 29678?

Greatest common factor (GCF) of 29671 and 29678 is 1.

GCF(29671,29678) = 1

We will now calculate the prime factors of 29671 and 29678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29671 and 29678.

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How to find the GCF of 29671 and 29678?

We will first find the prime factorization of 29671 and 29678. After we will calculate the factors of 29671 and 29678 and find the biggest common factor number .

Step-1: Prime Factorization of 29671

Prime factors of 29671 are 29671. Prime factorization of 29671 in exponential form is:

29671 = 296711

Step-2: Prime Factorization of 29678

Prime factors of 29678 are 2, 11, 19, 71. Prime factorization of 29678 in exponential form is:

29678 = 21 × 111 × 191 × 711

Step-3: Factors of 29671

List of positive integer factors of 29671 that divides 29671 without a remainder.

1

Step-4: Factors of 29678

List of positive integer factors of 29678 that divides 29671 without a remainder.

1, 2, 11, 19, 22, 38, 71, 142, 209, 418, 781, 1349, 1562, 2698, 14839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29671 and 29678. The biggest common factor number is the GCF number.
So the greatest common factor 29671 and 29678 is 1.

Also check out the Least Common Multiple of 29671 and 29678