What is the Greatest Common Factor of 53144 and 53161?

Greatest common factor (GCF) of 53144 and 53161 is 1.

GCF(53144,53161) = 1

We will now calculate the prime factors of 53144 and 53161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53144 and 53161.

How to find the GCF of 53144 and 53161?

We will first find the prime factorization of 53144 and 53161. After we will calculate the factors of 53144 and 53161 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53161

Prime factors of 53161 are 53161. Prime factorization of 53161 in exponential form is:

53161 = 53161¹

Step-3: Factors of 53144

List of positive integer factors of 53144 that divides 53144 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

Step-4: Factors of 53161

List of positive integer factors of 53161 that divides 53144 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53144 and 53161. The biggest common factor number is the GCF number.
So the greatest common factor 53144 and 53161 is 1.

Also check out the Least Common Multiple of 53144 and 53161