What is the Greatest Common Factor of 67890 and 67910?

Greatest common factor (GCF) of 67890 and 67910 is 10.

GCF(67890,67910) = 10

We will now calculate the prime factors of 67890 and 67910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67890 and 67910.

How to find the GCF of 67890 and 67910?

We will first find the prime factorization of 67890 and 67910. After we will calculate the factors of 67890 and 67910 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67910

Prime factors of 67910 are 2, 5, 6791. Prime factorization of 67910 in exponential form is:

67910 = 2¹ × 5¹ × 6791¹

Step-3: Factors of 67890

List of positive integer factors of 67890 that divides 67890 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

Step-4: Factors of 67910

List of positive integer factors of 67910 that divides 67890 without a remainder.

1, 2, 5, 10, 6791, 13582, 33955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67890 and 67910. The biggest common factor number is the GCF number.
So the greatest common factor 67890 and 67910 is 10.

Also check out the Least Common Multiple of 67890 and 67910