What is the Greatest Common Factor of 67870 and 67890?

Greatest common factor (GCF) of 67870 and 67890 is 10.

GCF(67870,67890) = 10

We will now calculate the prime factors of 67870 and 67890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67870 and 67890.

How to find the GCF of 67870 and 67890?

We will first find the prime factorization of 67870 and 67890. After we will calculate the factors of 67870 and 67890 and find the biggest common factor number .

Step-1: Prime Factorization of 67870

Prime factors of 67870 are 2, 5, 11, 617. Prime factorization of 67870 in exponential form is:

67870 = 2¹ × 5¹ × 11¹ × 617¹

Step-2: Prime Factorization of 67890

Prime factors of 67890 are 2, 3, 5, 31, 73. Prime factorization of 67890 in exponential form is:

67890 = 2¹ × 3¹ × 5¹ × 31¹ × 73¹

Step-3: Factors of 67870

List of positive integer factors of 67870 that divides 67870 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 617, 1234, 3085, 6170, 6787, 13574, 33935

Step-4: Factors of 67890

List of positive integer factors of 67890 that divides 67870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 73, 93, 146, 155, 186, 219, 310, 365, 438, 465, 730, 930, 1095, 2190, 2263, 4526, 6789, 11315, 13578, 22630, 33945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67870 and 67890. The biggest common factor number is the GCF number.
So the greatest common factor 67870 and 67890 is 10.

Also check out the Least Common Multiple of 67870 and 67890