What is the Greatest Common Factor of 32103 and 32120?

Greatest common factor (GCF) of 32103 and 32120 is 1.

GCF(32103,32120) = 1

We will now calculate the prime factors of 32103 and 32120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32103 and 32120.

How to find the GCF of 32103 and 32120?

We will first find the prime factorization of 32103 and 32120. After we will calculate the factors of 32103 and 32120 and find the biggest common factor number .

Step-1: Prime Factorization of 32103

Prime factors of 32103 are 3, 29, 41. Prime factorization of 32103 in exponential form is:

32103 = 3³ × 29¹ × 41¹

Step-2: 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-3: Factors of 32103

List of positive integer factors of 32103 that divides 32103 without a remainder.

1, 3, 9, 27, 29, 41, 87, 123, 261, 369, 783, 1107, 1189, 3567, 10701

Step-4: Factors of 32120

List of positive integer factors of 32120 that divides 32103 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32103 and 32120. The biggest common factor number is the GCF number.
So the greatest common factor 32103 and 32120 is 1.

Also check out the Least Common Multiple of 32103 and 32120