What is the Greatest Common Factor of 67872 and 67883?

Greatest common factor (GCF) of 67872 and 67883 is 1.

GCF(67872,67883) = 1

We will now calculate the prime factors of 67872 and 67883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67872 and 67883.

How to find the GCF of 67872 and 67883?

We will first find the prime factorization of 67872 and 67883. After we will calculate the factors of 67872 and 67883 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 67883

Prime factors of 67883 are 67883. Prime factorization of 67883 in exponential form is:

67883 = 67883¹

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 67883

List of positive integer factors of 67883 that divides 67872 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67872 and 67883. The biggest common factor number is the GCF number.
So the greatest common factor 67872 and 67883 is 1.

Also check out the Least Common Multiple of 67872 and 67883