What is the Greatest Common Factor of 59162 and 59176?

Greatest common factor (GCF) of 59162 and 59176 is 2.

GCF(59162,59176) = 2

We will now calculate the prime factors of 59162 and 59176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59162 and 59176.

How to find the GCF of 59162 and 59176?

We will first find the prime factorization of 59162 and 59176. After we will calculate the factors of 59162 and 59176 and find the biggest common factor number .

Step-1: Prime Factorization of 59162

Prime factors of 59162 are 2, 29581. Prime factorization of 59162 in exponential form is:

59162 = 2¹ × 29581¹

Step-2: Prime Factorization of 59176

Prime factors of 59176 are 2, 13, 569. Prime factorization of 59176 in exponential form is:

59176 = 2³ × 13¹ × 569¹

Step-3: Factors of 59162

List of positive integer factors of 59162 that divides 59162 without a remainder.

1, 2, 29581

Step-4: Factors of 59176

List of positive integer factors of 59176 that divides 59162 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 569, 1138, 2276, 4552, 7397, 14794, 29588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59162 and 59176. The biggest common factor number is the GCF number.
So the greatest common factor 59162 and 59176 is 2.

Also check out the Least Common Multiple of 59162 and 59176