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What is the Greatest Common Factor of 47472 and 47489?

Greatest common factor (GCF) of 47472 and 47489 is 1.

GCF(47472,47489) = 1

We will now calculate the prime factors of 47472 and 47489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47472 and 47489.

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How to find the GCF of 47472 and 47489?

We will first find the prime factorization of 47472 and 47489. After we will calculate the factors of 47472 and 47489 and find the biggest common factor number .

Step-1: Prime Factorization of 47472

Prime factors of 47472 are 2, 3, 23, 43. Prime factorization of 47472 in exponential form is:

47472 = 24 × 31 × 231 × 431

Step-2: Prime Factorization of 47489

Prime factors of 47489 are 13, 281. Prime factorization of 47489 in exponential form is:

47489 = 132 × 2811

Step-3: Factors of 47472

List of positive integer factors of 47472 that divides 47472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 43, 46, 48, 69, 86, 92, 129, 138, 172, 184, 258, 276, 344, 368, 516, 552, 688, 989, 1032, 1104, 1978, 2064, 2967, 3956, 5934, 7912, 11868, 15824, 23736

Step-4: Factors of 47489

List of positive integer factors of 47489 that divides 47472 without a remainder.

1, 13, 169, 281, 3653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47472 and 47489. The biggest common factor number is the GCF number.
So the greatest common factor 47472 and 47489 is 1.

Also check out the Least Common Multiple of 47472 and 47489