What is the Greatest Common Factor of 9632 and 9642?

Greatest common factor (GCF) of 9632 and 9642 is 2.

GCF(9632,9642) = 2

We will now calculate the prime factors of 9632 and 9642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9632 and 9642.

How to find the GCF of 9632 and 9642?

We will first find the prime factorization of 9632 and 9642. After we will calculate the factors of 9632 and 9642 and find the biggest common factor number .

Step-1: Prime Factorization of 9632

Prime factors of 9632 are 2, 7, 43. Prime factorization of 9632 in exponential form is:

9632 = 2⁵ × 7¹ × 43¹

Step-2: Prime Factorization of 9642

Prime factors of 9642 are 2, 3, 1607. Prime factorization of 9642 in exponential form is:

9642 = 2¹ × 3¹ × 1607¹

Step-3: Factors of 9632

List of positive integer factors of 9632 that divides 9632 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816

Step-4: Factors of 9642

List of positive integer factors of 9642 that divides 9632 without a remainder.

1, 2, 3, 6, 1607, 3214, 4821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9632 and 9642. The biggest common factor number is the GCF number.
So the greatest common factor 9632 and 9642 is 2.

Also check out the Least Common Multiple of 9632 and 9642