What is the Greatest Common Factor of 82048 and 82068?

Greatest common factor (GCF) of 82048 and 82068 is 4.

GCF(82048,82068) = 4

We will now calculate the prime factors of 82048 and 82068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82048 and 82068.

How to find the GCF of 82048 and 82068?

We will first find the prime factorization of 82048 and 82068. After we will calculate the factors of 82048 and 82068 and find the biggest common factor number .

Step-1: Prime Factorization of 82048

Prime factors of 82048 are 2, 641. Prime factorization of 82048 in exponential form is:

82048 = 2⁷ × 641¹

Step-2: Prime Factorization of 82068

Prime factors of 82068 are 2, 3, 7, 977. Prime factorization of 82068 in exponential form is:

82068 = 2² × 3¹ × 7¹ × 977¹

Step-3: Factors of 82048

List of positive integer factors of 82048 that divides 82048 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 641, 1282, 2564, 5128, 10256, 20512, 41024

Step-4: Factors of 82068

List of positive integer factors of 82068 that divides 82048 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 977, 1954, 2931, 3908, 5862, 6839, 11724, 13678, 20517, 27356, 41034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82048 and 82068. The biggest common factor number is the GCF number.
So the greatest common factor 82048 and 82068 is 4.

Also check out the Least Common Multiple of 82048 and 82068