What is the Greatest Common Factor of 33103 and 33120?

Greatest common factor (GCF) of 33103 and 33120 is 1.

GCF(33103,33120) = 1

We will now calculate the prime factors of 33103 and 33120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33103 and 33120.

How to find the GCF of 33103 and 33120?

We will first find the prime factorization of 33103 and 33120. After we will calculate the factors of 33103 and 33120 and find the biggest common factor number .

Step-1: Prime Factorization of 33103

Prime factors of 33103 are 7, 4729. Prime factorization of 33103 in exponential form is:

33103 = 7¹ × 4729¹

Step-2: Prime Factorization of 33120

Prime factors of 33120 are 2, 3, 5, 23. Prime factorization of 33120 in exponential form is:

33120 = 2⁵ × 3² × 5¹ × 23¹

Step-3: Factors of 33103

List of positive integer factors of 33103 that divides 33103 without a remainder.

1, 7, 4729

Step-4: Factors of 33120

List of positive integer factors of 33120 that divides 33103 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 30, 32, 36, 40, 45, 46, 48, 60, 69, 72, 80, 90, 92, 96, 115, 120, 138, 144, 160, 180, 184, 207, 230, 240, 276, 288, 345, 360, 368, 414, 460, 480, 552, 690, 720, 736, 828, 920, 1035, 1104, 1380, 1440, 1656, 1840, 2070, 2208, 2760, 3312, 3680, 4140, 5520, 6624, 8280, 11040, 16560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33103 and 33120. The biggest common factor number is the GCF number.
So the greatest common factor 33103 and 33120 is 1.

Also check out the Least Common Multiple of 33103 and 33120