What is the Greatest Common Factor of 70890 and 70900?

Greatest common factor (GCF) of 70890 and 70900 is 10.

GCF(70890,70900) = 10

We will now calculate the prime factors of 70890 and 70900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70890 and 70900.

How to find the GCF of 70890 and 70900?

We will first find the prime factorization of 70890 and 70900. After we will calculate the factors of 70890 and 70900 and find the biggest common factor number .

Step-1: Prime Factorization of 70890

Prime factors of 70890 are 2, 3, 5, 17, 139. Prime factorization of 70890 in exponential form is:

70890 = 2¹ × 3¹ × 5¹ × 17¹ × 139¹

Step-2: Prime Factorization of 70900

Prime factors of 70900 are 2, 5, 709. Prime factorization of 70900 in exponential form is:

70900 = 2² × 5² × 709¹

Step-3: Factors of 70890

List of positive integer factors of 70890 that divides 70890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 139, 170, 255, 278, 417, 510, 695, 834, 1390, 2085, 2363, 4170, 4726, 7089, 11815, 14178, 23630, 35445

Step-4: Factors of 70900

List of positive integer factors of 70900 that divides 70890 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 709, 1418, 2836, 3545, 7090, 14180, 17725, 35450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70890 and 70900. The biggest common factor number is the GCF number.
So the greatest common factor 70890 and 70900 is 10.

Also check out the Least Common Multiple of 70890 and 70900