What is the Greatest Common Factor of 81870 and 81890?

Greatest common factor (GCF) of 81870 and 81890 is 10.

GCF(81870,81890) = 10

We will now calculate the prime factors of 81870 and 81890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81870 and 81890.

How to find the GCF of 81870 and 81890?

We will first find the prime factorization of 81870 and 81890. After we will calculate the factors of 81870 and 81890 and find the biggest common factor number .

Step-1: Prime Factorization of 81870

Prime factors of 81870 are 2, 3, 5, 2729. Prime factorization of 81870 in exponential form is:

81870 = 2¹ × 3¹ × 5¹ × 2729¹

Step-2: Prime Factorization of 81890

Prime factors of 81890 are 2, 5, 19, 431. Prime factorization of 81890 in exponential form is:

81890 = 2¹ × 5¹ × 19¹ × 431¹

Step-3: Factors of 81870

List of positive integer factors of 81870 that divides 81870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2729, 5458, 8187, 13645, 16374, 27290, 40935

Step-4: Factors of 81890

List of positive integer factors of 81890 that divides 81870 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 431, 862, 2155, 4310, 8189, 16378, 40945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81870 and 81890. The biggest common factor number is the GCF number.
So the greatest common factor 81870 and 81890 is 10.

Also check out the Least Common Multiple of 81870 and 81890