What is the Greatest Common Factor of 74494 and 74501?

Greatest common factor (GCF) of 74494 and 74501 is 7.

GCF(74494,74501) = 7

We will now calculate the prime factors of 74494 and 74501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74494 and 74501.

How to find the GCF of 74494 and 74501?

We will first find the prime factorization of 74494 and 74501. After we will calculate the factors of 74494 and 74501 and find the biggest common factor number .

Step-1: Prime Factorization of 74494

Prime factors of 74494 are 2, 7, 17, 313. Prime factorization of 74494 in exponential form is:

74494 = 2¹ × 7¹ × 17¹ × 313¹

Step-2: Prime Factorization of 74501

Prime factors of 74501 are 7, 29, 367. Prime factorization of 74501 in exponential form is:

74501 = 7¹ × 29¹ × 367¹

Step-3: Factors of 74494

List of positive integer factors of 74494 that divides 74494 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 313, 626, 2191, 4382, 5321, 10642, 37247

Step-4: Factors of 74501

List of positive integer factors of 74501 that divides 74494 without a remainder.

1, 7, 29, 203, 367, 2569, 10643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74494 and 74501. The biggest common factor number is the GCF number.
So the greatest common factor 74494 and 74501 is 7.

Also check out the Least Common Multiple of 74494 and 74501