What is the Greatest Common Factor of 70881 and 70890?

Greatest common factor (GCF) of 70881 and 70890 is 3.

GCF(70881,70890) = 3

We will now calculate the prime factors of 70881 and 70890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70881 and 70890.

How to find the GCF of 70881 and 70890?

We will first find the prime factorization of 70881 and 70890. After we will calculate the factors of 70881 and 70890 and find the biggest common factor number .

Step-1: Prime Factorization of 70881

Prime factors of 70881 are 3, 23627. Prime factorization of 70881 in exponential form is:

70881 = 3¹ × 23627¹

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 70881

List of positive integer factors of 70881 that divides 70881 without a remainder.

1, 3, 23627

Step-4: Factors of 70890

List of positive integer factors of 70890 that divides 70881 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 70881 and 70890. The biggest common factor number is the GCF number.
So the greatest common factor 70881 and 70890 is 3.

Also check out the Least Common Multiple of 70881 and 70890