What is the Greatest Common Factor of 9492 and 9506?

Greatest common factor (GCF) of 9492 and 9506 is 14.

GCF(9492,9506) = 14

We will now calculate the prime factors of 9492 and 9506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9492 and 9506.

How to find the GCF of 9492 and 9506?

We will first find the prime factorization of 9492 and 9506. After we will calculate the factors of 9492 and 9506 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 9506

Prime factors of 9506 are 2, 7, 97. Prime factorization of 9506 in exponential form is:

9506 = 2¹ × 7² × 97¹

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 9506

List of positive integer factors of 9506 that divides 9492 without a remainder.

1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9492 and 9506. The biggest common factor number is the GCF number.
So the greatest common factor 9492 and 9506 is 14.

Also check out the Least Common Multiple of 9492 and 9506