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What is the Greatest Common Factor of 72908 and 72912?

Greatest common factor (GCF) of 72908 and 72912 is 4.

GCF(72908,72912) = 4

We will now calculate the prime factors of 72908 and 72912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72908 and 72912.

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How to find the GCF of 72908 and 72912?

We will first find the prime factorization of 72908 and 72912. After we will calculate the factors of 72908 and 72912 and find the biggest common factor number .

Step-1: Prime Factorization of 72908

Prime factors of 72908 are 2, 11, 1657. Prime factorization of 72908 in exponential form is:

72908 = 22 × 111 × 16571

Step-2: Prime Factorization of 72912

Prime factors of 72912 are 2, 3, 7, 31. Prime factorization of 72912 in exponential form is:

72912 = 24 × 31 × 72 × 311

Step-3: Factors of 72908

List of positive integer factors of 72908 that divides 72908 without a remainder.

1, 2, 4, 11, 22, 44, 1657, 3314, 6628, 18227, 36454

Step-4: Factors of 72912

List of positive integer factors of 72912 that divides 72908 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 31, 42, 48, 49, 56, 62, 84, 93, 98, 112, 124, 147, 168, 186, 196, 217, 248, 294, 336, 372, 392, 434, 496, 588, 651, 744, 784, 868, 1176, 1302, 1488, 1519, 1736, 2352, 2604, 3038, 3472, 4557, 5208, 6076, 9114, 10416, 12152, 18228, 24304, 36456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72908 and 72912. The biggest common factor number is the GCF number.
So the greatest common factor 72908 and 72912 is 4.

Also check out the Least Common Multiple of 72908 and 72912