What is the Greatest Common Factor of 53131 and 53144?

Greatest common factor (GCF) of 53131 and 53144 is 13.

GCF(53131,53144) = 13

We will now calculate the prime factors of 53131 and 53144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53131 and 53144.

How to find the GCF of 53131 and 53144?

We will first find the prime factorization of 53131 and 53144. After we will calculate the factors of 53131 and 53144 and find the biggest common factor number .

Step-1: Prime Factorization of 53131

Prime factors of 53131 are 13, 61, 67. Prime factorization of 53131 in exponential form is:

53131 = 13¹ × 61¹ × 67¹

Step-2: Prime Factorization of 53144

Prime factors of 53144 are 2, 7, 13, 73. Prime factorization of 53144 in exponential form is:

53144 = 2³ × 7¹ × 13¹ × 73¹

Step-3: Factors of 53131

List of positive integer factors of 53131 that divides 53131 without a remainder.

1, 13, 61, 67, 793, 871, 4087

Step-4: Factors of 53144

List of positive integer factors of 53144 that divides 53131 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 73, 91, 104, 146, 182, 292, 364, 511, 584, 728, 949, 1022, 1898, 2044, 3796, 4088, 6643, 7592, 13286, 26572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53131 and 53144. The biggest common factor number is the GCF number.
So the greatest common factor 53131 and 53144 is 13.

Also check out the Least Common Multiple of 53131 and 53144