What is the Greatest Common Factor of 67872 and 67891?

Greatest common factor (GCF) of 67872 and 67891 is 1.

GCF(67872,67891) = 1

We will now calculate the prime factors of 67872 and 67891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67872 and 67891.

How to find the GCF of 67872 and 67891?

We will first find the prime factorization of 67872 and 67891. After we will calculate the factors of 67872 and 67891 and find the biggest common factor number .

Step-1: Prime Factorization of 67872

Prime factors of 67872 are 2, 3, 7, 101. Prime factorization of 67872 in exponential form is:

67872 = 2⁵ × 3¹ × 7¹ × 101¹

Step-2: Prime Factorization of 67891

Prime factors of 67891 are 67891. Prime factorization of 67891 in exponential form is:

67891 = 67891¹

Step-3: Factors of 67872

List of positive integer factors of 67872 that divides 67872 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 101, 112, 168, 202, 224, 303, 336, 404, 606, 672, 707, 808, 1212, 1414, 1616, 2121, 2424, 2828, 3232, 4242, 4848, 5656, 8484, 9696, 11312, 16968, 22624, 33936

Step-4: Factors of 67891

List of positive integer factors of 67891 that divides 67872 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67872 and 67891. The biggest common factor number is the GCF number.
So the greatest common factor 67872 and 67891 is 1.

Also check out the Least Common Multiple of 67872 and 67891