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What is the Greatest Common Factor of 35651 and 35671?

Greatest common factor (GCF) of 35651 and 35671 is 1.

GCF(35651,35671) = 1

We will now calculate the prime factors of 35651 and 35671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35651 and 35671.

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How to find the GCF of 35651 and 35671?

We will first find the prime factorization of 35651 and 35671. After we will calculate the factors of 35651 and 35671 and find the biggest common factor number .

Step-1: Prime Factorization of 35651

Prime factors of 35651 are 7, 11, 463. Prime factorization of 35651 in exponential form is:

35651 = 71 × 111 × 4631

Step-2: Prime Factorization of 35671

Prime factors of 35671 are 35671. Prime factorization of 35671 in exponential form is:

35671 = 356711

Step-3: Factors of 35651

List of positive integer factors of 35651 that divides 35651 without a remainder.

1, 7, 11, 77, 463, 3241, 5093

Step-4: Factors of 35671

List of positive integer factors of 35671 that divides 35651 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35651 and 35671. The biggest common factor number is the GCF number.
So the greatest common factor 35651 and 35671 is 1.

Also check out the Least Common Multiple of 35651 and 35671