What is the Greatest Common Factor of 9492 and 9500?

Greatest common factor (GCF) of 9492 and 9500 is 4.

GCF(9492,9500) = 4

We will now calculate the prime factors of 9492 and 9500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9492 and 9500.

How to find the GCF of 9492 and 9500?

We will first find the prime factorization of 9492 and 9500. After we will calculate the factors of 9492 and 9500 and find the biggest common factor number .

Step-1: Prime Factorization of 9492

Prime factors of 9492 are 2, 3, 7, 113. Prime factorization of 9492 in exponential form is:

9492 = 2² × 3¹ × 7¹ × 113¹

Step-2: Prime Factorization of 9500

Prime factors of 9500 are 2, 5, 19. Prime factorization of 9500 in exponential form is:

9500 = 2² × 5³ × 19¹

Step-3: Factors of 9492

List of positive integer factors of 9492 that divides 9492 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746

Step-4: Factors of 9500

List of positive integer factors of 9500 that divides 9492 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9492 and 9500. The biggest common factor number is the GCF number.
So the greatest common factor 9492 and 9500 is 4.

Also check out the Least Common Multiple of 9492 and 9500