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What is the Greatest Common Factor of 36880 and 36890?

Greatest common factor (GCF) of 36880 and 36890 is 10.

GCF(36880,36890) = 10

We will now calculate the prime factors of 36880 and 36890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36880 and 36890.

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How to find the GCF of 36880 and 36890?

We will first find the prime factorization of 36880 and 36890. After we will calculate the factors of 36880 and 36890 and find the biggest common factor number .

Step-1: Prime Factorization of 36880

Prime factors of 36880 are 2, 5, 461. Prime factorization of 36880 in exponential form is:

36880 = 24 × 51 × 4611

Step-2: Prime Factorization of 36890

Prime factors of 36890 are 2, 5, 7, 17, 31. Prime factorization of 36890 in exponential form is:

36890 = 21 × 51 × 71 × 171 × 311

Step-3: Factors of 36880

List of positive integer factors of 36880 that divides 36880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 461, 922, 1844, 2305, 3688, 4610, 7376, 9220, 18440

Step-4: Factors of 36890

List of positive integer factors of 36890 that divides 36880 without a remainder.

1, 2, 5, 7, 10, 14, 17, 31, 34, 35, 62, 70, 85, 119, 155, 170, 217, 238, 310, 434, 527, 595, 1054, 1085, 1190, 2170, 2635, 3689, 5270, 7378, 18445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36880 and 36890. The biggest common factor number is the GCF number.
So the greatest common factor 36880 and 36890 is 10.

Also check out the Least Common Multiple of 36880 and 36890