What is the Greatest Common Factor of 67890 and 67906?

Greatest common factor (GCF) of 67890 and 67906 is 2.

GCF(67890,67906) = 2

We will now calculate the prime factors of 67890 and 67906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67890 and 67906.

How to find the GCF of 67890 and 67906?

We will first find the prime factorization of 67890 and 67906. After we will calculate the factors of 67890 and 67906 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 67906

Prime factors of 67906 are 2, 19, 1787. Prime factorization of 67906 in exponential form is:

67906 = 2¹ × 19¹ × 1787¹

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 67906

List of positive integer factors of 67906 that divides 67890 without a remainder.

1, 2, 19, 38, 1787, 3574, 33953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67890 and 67906. The biggest common factor number is the GCF number.
So the greatest common factor 67890 and 67906 is 2.

Also check out the Least Common Multiple of 67890 and 67906