What is the Greatest Common Factor of 70871 and 70890?

Greatest common factor (GCF) of 70871 and 70890 is 1.

GCF(70871,70890) = 1

We will now calculate the prime factors of 70871 and 70890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70871 and 70890.

How to find the GCF of 70871 and 70890?

We will first find the prime factorization of 70871 and 70890. After we will calculate the factors of 70871 and 70890 and find the biggest common factor number .

Step-1: Prime Factorization of 70871

Prime factors of 70871 are 131, 541. Prime factorization of 70871 in exponential form is:

70871 = 131¹ × 541¹

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 70871

List of positive integer factors of 70871 that divides 70871 without a remainder.

1, 131, 541

Step-4: Factors of 70890

List of positive integer factors of 70890 that divides 70871 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 70871 and 70890. The biggest common factor number is the GCF number.
So the greatest common factor 70871 and 70890 is 1.

Also check out the Least Common Multiple of 70871 and 70890