What is the Greatest Common Factor of 70870 and 70890?

Greatest common factor (GCF) of 70870 and 70890 is 10.

GCF(70870,70890) = 10

We will now calculate the prime factors of 70870 and 70890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70870 and 70890.

How to find the GCF of 70870 and 70890?

We will first find the prime factorization of 70870 and 70890. After we will calculate the factors of 70870 and 70890 and find the biggest common factor number .

Step-1: Prime Factorization of 70870

Prime factors of 70870 are 2, 5, 19, 373. Prime factorization of 70870 in exponential form is:

70870 = 2¹ × 5¹ × 19¹ × 373¹

Step-2: 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-3: Factors of 70870

List of positive integer factors of 70870 that divides 70870 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 373, 746, 1865, 3730, 7087, 14174, 35435

Step-4: Factors of 70890

List of positive integer factors of 70890 that divides 70870 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70870 and 70890. The biggest common factor number is the GCF number.
So the greatest common factor 70870 and 70890 is 10.

Also check out the Least Common Multiple of 70870 and 70890