What is the Greatest Common Factor of 32494 and 32501?

Greatest common factor (GCF) of 32494 and 32501 is 7.

GCF(32494,32501) = 7

We will now calculate the prime factors of 32494 and 32501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32494 and 32501.

How to find the GCF of 32494 and 32501?

We will first find the prime factorization of 32494 and 32501. After we will calculate the factors of 32494 and 32501 and find the biggest common factor number .

Step-1: Prime Factorization of 32494

Prime factors of 32494 are 2, 7, 11, 211. Prime factorization of 32494 in exponential form is:

32494 = 2¹ × 7¹ × 11¹ × 211¹

Step-2: Prime Factorization of 32501

Prime factors of 32501 are 7, 4643. Prime factorization of 32501 in exponential form is:

32501 = 7¹ × 4643¹

Step-3: Factors of 32494

List of positive integer factors of 32494 that divides 32494 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 211, 422, 1477, 2321, 2954, 4642, 16247

Step-4: Factors of 32501

List of positive integer factors of 32501 that divides 32494 without a remainder.

1, 7, 4643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32494 and 32501. The biggest common factor number is the GCF number.
So the greatest common factor 32494 and 32501 is 7.

Also check out the Least Common Multiple of 32494 and 32501