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What is the Greatest Common Factor of 35513 and 35532?

Greatest common factor (GCF) of 35513 and 35532 is 1.

GCF(35513,35532) = 1

We will now calculate the prime factors of 35513 and 35532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35513 and 35532.

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How to find the GCF of 35513 and 35532?

We will first find the prime factorization of 35513 and 35532. After we will calculate the factors of 35513 and 35532 and find the biggest common factor number .

Step-1: Prime Factorization of 35513

Prime factors of 35513 are 17, 2089. Prime factorization of 35513 in exponential form is:

35513 = 171 × 20891

Step-2: Prime Factorization of 35532

Prime factors of 35532 are 2, 3, 7, 47. Prime factorization of 35532 in exponential form is:

35532 = 22 × 33 × 71 × 471

Step-3: Factors of 35513

List of positive integer factors of 35513 that divides 35513 without a remainder.

1, 17, 2089

Step-4: Factors of 35532

List of positive integer factors of 35532 that divides 35513 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 47, 54, 63, 84, 94, 108, 126, 141, 188, 189, 252, 282, 329, 378, 423, 564, 658, 756, 846, 987, 1269, 1316, 1692, 1974, 2538, 2961, 3948, 5076, 5922, 8883, 11844, 17766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35513 and 35532. The biggest common factor number is the GCF number.
So the greatest common factor 35513 and 35532 is 1.

Also check out the Least Common Multiple of 35513 and 35532