What is the Greatest Common Factor of 53144 and 53158?

Greatest common factor (GCF) of 53144 and 53158 is 14.

GCF(53144,53158) = 14

We will now calculate the prime factors of 53144 and 53158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53144 and 53158.

How to find the GCF of 53144 and 53158?

We will first find the prime factorization of 53144 and 53158. After we will calculate the factors of 53144 and 53158 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 53158

Prime factors of 53158 are 2, 7, 3797. Prime factorization of 53158 in exponential form is:

53158 = 2¹ × 7¹ × 3797¹

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 53158

List of positive integer factors of 53158 that divides 53144 without a remainder.

1, 2, 7, 14, 3797, 7594, 26579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53144 and 53158. The biggest common factor number is the GCF number.
So the greatest common factor 53144 and 53158 is 14.

Also check out the Least Common Multiple of 53144 and 53158