What is the Greatest Common Factor of 28105 and 28119?

Greatest common factor (GCF) of 28105 and 28119 is 7.

GCF(28105,28119) = 7

We will now calculate the prime factors of 28105 and 28119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28105 and 28119.

How to find the GCF of 28105 and 28119?

We will first find the prime factorization of 28105 and 28119. After we will calculate the factors of 28105 and 28119 and find the biggest common factor number .

Step-1: Prime Factorization of 28105

Prime factors of 28105 are 5, 7, 11, 73. Prime factorization of 28105 in exponential form is:

28105 = 5¹ × 7¹ × 11¹ × 73¹

Step-2: Prime Factorization of 28119

Prime factors of 28119 are 3, 7, 13, 103. Prime factorization of 28119 in exponential form is:

28119 = 3¹ × 7¹ × 13¹ × 103¹

Step-3: Factors of 28105

List of positive integer factors of 28105 that divides 28105 without a remainder.

1, 5, 7, 11, 35, 55, 73, 77, 365, 385, 511, 803, 2555, 4015, 5621

Step-4: Factors of 28119

List of positive integer factors of 28119 that divides 28105 without a remainder.

1, 3, 7, 13, 21, 39, 91, 103, 273, 309, 721, 1339, 2163, 4017, 9373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28105 and 28119. The biggest common factor number is the GCF number.
So the greatest common factor 28105 and 28119 is 7.

Also check out the Least Common Multiple of 28105 and 28119