What is the Greatest Common Factor of 68874 and 68890?

Greatest common factor (GCF) of 68874 and 68890 is 2.

GCF(68874,68890) = 2

We will now calculate the prime factors of 68874 and 68890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68874 and 68890.

How to find the GCF of 68874 and 68890?

We will first find the prime factorization of 68874 and 68890. After we will calculate the factors of 68874 and 68890 and find the biggest common factor number .

Step-1: Prime Factorization of 68874

Prime factors of 68874 are 2, 3, 13, 883. Prime factorization of 68874 in exponential form is:

68874 = 2¹ × 3¹ × 13¹ × 883¹

Step-2: Prime Factorization of 68890

Prime factors of 68890 are 2, 5, 83. Prime factorization of 68890 in exponential form is:

68890 = 2¹ × 5¹ × 83²

Step-3: Factors of 68874

List of positive integer factors of 68874 that divides 68874 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 883, 1766, 2649, 5298, 11479, 22958, 34437

Step-4: Factors of 68890

List of positive integer factors of 68890 that divides 68874 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830, 6889, 13778, 34445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68874 and 68890. The biggest common factor number is the GCF number.
So the greatest common factor 68874 and 68890 is 2.

Also check out the Least Common Multiple of 68874 and 68890