What is the Greatest Common Factor of 53144 and 53159?

Greatest common factor (GCF) of 53144 and 53159 is 1.

GCF(53144,53159) = 1

We will now calculate the prime factors of 53144 and 53159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53144 and 53159.

How to find the GCF of 53144 and 53159?

We will first find the prime factorization of 53144 and 53159. After we will calculate the factors of 53144 and 53159 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 53159

Prime factors of 53159 are 17, 53, 59. Prime factorization of 53159 in exponential form is:

53159 = 17¹ × 53¹ × 59¹

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 53159

List of positive integer factors of 53159 that divides 53144 without a remainder.

1, 17, 53, 59, 901, 1003, 3127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53144 and 53159. The biggest common factor number is the GCF number.
So the greatest common factor 53144 and 53159 is 1.

Also check out the Least Common Multiple of 53144 and 53159