What is the Greatest Common Factor of 93100 and 93104?

Greatest common factor (GCF) of 93100 and 93104 is 4.

GCF(93100,93104) = 4

We will now calculate the prime factors of 93100 and 93104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93100 and 93104.

How to find the GCF of 93100 and 93104?

We will first find the prime factorization of 93100 and 93104. After we will calculate the factors of 93100 and 93104 and find the biggest common factor number .

Step-1: Prime Factorization of 93100

Prime factors of 93100 are 2, 5, 7, 19. Prime factorization of 93100 in exponential form is:

93100 = 2² × 5² × 7² × 19¹

Step-2: Prime Factorization of 93104

Prime factors of 93104 are 2, 11, 23. Prime factorization of 93104 in exponential form is:

93104 = 2⁴ × 11¹ × 23²

Step-3: Factors of 93100

List of positive integer factors of 93100 that divides 93100 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 25, 28, 35, 38, 49, 50, 70, 76, 95, 98, 100, 133, 140, 175, 190, 196, 245, 266, 350, 380, 475, 490, 532, 665, 700, 931, 950, 980, 1225, 1330, 1862, 1900, 2450, 2660, 3325, 3724, 4655, 4900, 6650, 9310, 13300, 18620, 23275, 46550

Step-4: Factors of 93104

List of positive integer factors of 93104 that divides 93100 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 529, 1012, 1058, 2024, 2116, 4048, 4232, 5819, 8464, 11638, 23276, 46552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93100 and 93104. The biggest common factor number is the GCF number.
So the greatest common factor 93100 and 93104 is 4.

Also check out the Least Common Multiple of 93100 and 93104