What is the Greatest Common Factor of 74487 and 74494?

Greatest common factor (GCF) of 74487 and 74494 is 7.

GCF(74487,74494) = 7

We will now calculate the prime factors of 74487 and 74494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74487 and 74494.

How to find the GCF of 74487 and 74494?

We will first find the prime factorization of 74487 and 74494. After we will calculate the factors of 74487 and 74494 and find the biggest common factor number .

Step-1: Prime Factorization of 74487

Prime factors of 74487 are 3, 7, 3547. Prime factorization of 74487 in exponential form is:

74487 = 3¹ × 7¹ × 3547¹

Step-2: 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-3: Factors of 74487

List of positive integer factors of 74487 that divides 74487 without a remainder.

1, 3, 7, 21, 3547, 10641, 24829

Step-4: Factors of 74494

List of positive integer factors of 74494 that divides 74487 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74487 and 74494. The biggest common factor number is the GCF number.
So the greatest common factor 74487 and 74494 is 7.

Also check out the Least Common Multiple of 74487 and 74494