What is the Greatest Common Factor of 32120 and 32134?

Greatest common factor (GCF) of 32120 and 32134 is 2.

GCF(32120,32134) = 2

We will now calculate the prime factors of 32120 and 32134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32120 and 32134.

How to find the GCF of 32120 and 32134?

We will first find the prime factorization of 32120 and 32134. After we will calculate the factors of 32120 and 32134 and find the biggest common factor number .

Step-1: Prime Factorization of 32120

Prime factors of 32120 are 2, 5, 11, 73. Prime factorization of 32120 in exponential form is:

32120 = 2³ × 5¹ × 11¹ × 73¹

Step-2: Prime Factorization of 32134

Prime factors of 32134 are 2, 16067. Prime factorization of 32134 in exponential form is:

32134 = 2¹ × 16067¹

Step-3: Factors of 32120

List of positive integer factors of 32120 that divides 32120 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 73, 88, 110, 146, 220, 292, 365, 440, 584, 730, 803, 1460, 1606, 2920, 3212, 4015, 6424, 8030, 16060

Step-4: Factors of 32134

List of positive integer factors of 32134 that divides 32120 without a remainder.

1, 2, 16067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32120 and 32134. The biggest common factor number is the GCF number.
So the greatest common factor 32120 and 32134 is 2.

Also check out the Least Common Multiple of 32120 and 32134