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What is the Greatest Common Factor of 70488 and 70500?

Greatest common factor (GCF) of 70488 and 70500 is 12.

GCF(70488,70500) = 12

We will now calculate the prime factors of 70488 and 70500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70488 and 70500.

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How to find the GCF of 70488 and 70500?

We will first find the prime factorization of 70488 and 70500. After we will calculate the factors of 70488 and 70500 and find the biggest common factor number .

Step-1: Prime Factorization of 70488

Prime factors of 70488 are 2, 3, 11, 89. Prime factorization of 70488 in exponential form is:

70488 = 23 × 32 × 111 × 891

Step-2: Prime Factorization of 70500

Prime factors of 70500 are 2, 3, 5, 47. Prime factorization of 70500 in exponential form is:

70500 = 22 × 31 × 53 × 471

Step-3: Factors of 70488

List of positive integer factors of 70488 that divides 70488 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 89, 99, 132, 178, 198, 264, 267, 356, 396, 534, 712, 792, 801, 979, 1068, 1602, 1958, 2136, 2937, 3204, 3916, 5874, 6408, 7832, 8811, 11748, 17622, 23496, 35244

Step-4: Factors of 70500

List of positive integer factors of 70500 that divides 70488 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 47, 50, 60, 75, 94, 100, 125, 141, 150, 188, 235, 250, 282, 300, 375, 470, 500, 564, 705, 750, 940, 1175, 1410, 1500, 2350, 2820, 3525, 4700, 5875, 7050, 11750, 14100, 17625, 23500, 35250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70488 and 70500. The biggest common factor number is the GCF number.
So the greatest common factor 70488 and 70500 is 12.

Also check out the Least Common Multiple of 70488 and 70500