What is the Greatest Common Factor of 53868 and 53878?

Greatest common factor (GCF) of 53868 and 53878 is 2.

GCF(53868,53878) = 2

We will now calculate the prime factors of 53868 and 53878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53868 and 53878.

How to find the GCF of 53868 and 53878?

We will first find the prime factorization of 53868 and 53878. After we will calculate the factors of 53868 and 53878 and find the biggest common factor number .

Step-1: Prime Factorization of 53868

Prime factors of 53868 are 2, 3, 67. Prime factorization of 53868 in exponential form is:

53868 = 2² × 3¹ × 67²

Step-2: Prime Factorization of 53878

Prime factors of 53878 are 2, 11, 31, 79. Prime factorization of 53878 in exponential form is:

53878 = 2¹ × 11¹ × 31¹ × 79¹

Step-3: Factors of 53868

List of positive integer factors of 53868 that divides 53868 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804, 4489, 8978, 13467, 17956, 26934

Step-4: Factors of 53878

List of positive integer factors of 53878 that divides 53868 without a remainder.

1, 2, 11, 22, 31, 62, 79, 158, 341, 682, 869, 1738, 2449, 4898, 26939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53868 and 53878. The biggest common factor number is the GCF number.
So the greatest common factor 53868 and 53878 is 2.

Also check out the Least Common Multiple of 53868 and 53878