What is the Greatest Common Factor of 67872 and 67882?

Greatest common factor (GCF) of 67872 and 67882 is 2.

GCF(67872,67882) = 2

We will now calculate the prime factors of 67872 and 67882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67872 and 67882.

How to find the GCF of 67872 and 67882?

We will first find the prime factorization of 67872 and 67882. After we will calculate the factors of 67872 and 67882 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 67882

Prime factors of 67882 are 2, 33941. Prime factorization of 67882 in exponential form is:

67882 = 2¹ × 33941¹

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 67882

List of positive integer factors of 67882 that divides 67872 without a remainder.

1, 2, 33941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67872 and 67882. The biggest common factor number is the GCF number.
So the greatest common factor 67872 and 67882 is 2.

Also check out the Least Common Multiple of 67872 and 67882