What is the Greatest Common Factor of 68890 and 68900?

Greatest common factor (GCF) of 68890 and 68900 is 10.

GCF(68890,68900) = 10

We will now calculate the prime factors of 68890 and 68900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68890 and 68900.

How to find the GCF of 68890 and 68900?

We will first find the prime factorization of 68890 and 68900. After we will calculate the factors of 68890 and 68900 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68900

Prime factors of 68900 are 2, 5, 13, 53. Prime factorization of 68900 in exponential form is:

68900 = 2² × 5² × 13¹ × 53¹

Step-3: Factors of 68890

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

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

Step-4: Factors of 68900

List of positive integer factors of 68900 that divides 68890 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 53, 65, 100, 106, 130, 212, 260, 265, 325, 530, 650, 689, 1060, 1300, 1325, 1378, 2650, 2756, 3445, 5300, 6890, 13780, 17225, 34450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68890 and 68900. The biggest common factor number is the GCF number.
So the greatest common factor 68890 and 68900 is 10.

Also check out the Least Common Multiple of 68890 and 68900