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What is the Greatest Common Factor of 67617 and 67632?

Greatest common factor (GCF) of 67617 and 67632 is 3.

GCF(67617,67632) = 3

We will now calculate the prime factors of 67617 and 67632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67617 and 67632.

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How to find the GCF of 67617 and 67632?

We will first find the prime factorization of 67617 and 67632. After we will calculate the factors of 67617 and 67632 and find the biggest common factor number .

Step-1: Prime Factorization of 67617

Prime factors of 67617 are 3, 11, 683. Prime factorization of 67617 in exponential form is:

67617 = 32 × 111 × 6831

Step-2: Prime Factorization of 67632

Prime factors of 67632 are 2, 3, 1409. Prime factorization of 67632 in exponential form is:

67632 = 24 × 31 × 14091

Step-3: Factors of 67617

List of positive integer factors of 67617 that divides 67617 without a remainder.

1, 3, 9, 11, 33, 99, 683, 2049, 6147, 7513, 22539

Step-4: Factors of 67632

List of positive integer factors of 67632 that divides 67617 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1409, 2818, 4227, 5636, 8454, 11272, 16908, 22544, 33816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67617 and 67632. The biggest common factor number is the GCF number.
So the greatest common factor 67617 and 67632 is 3.

Also check out the Least Common Multiple of 67617 and 67632