What is the Greatest Common Factor of 7574 and 7581?

Greatest common factor (GCF) of 7574 and 7581 is 7.

GCF(7574,7581) = 7

We will now calculate the prime factors of 7574 and 7581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7574 and 7581.

How to find the GCF of 7574 and 7581?

We will first find the prime factorization of 7574 and 7581. After we will calculate the factors of 7574 and 7581 and find the biggest common factor number .

Step-1: Prime Factorization of 7574

Prime factors of 7574 are 2, 7, 541. Prime factorization of 7574 in exponential form is:

7574 = 2¹ × 7¹ × 541¹

Step-2: Prime Factorization of 7581

Prime factors of 7581 are 3, 7, 19. Prime factorization of 7581 in exponential form is:

7581 = 3¹ × 7¹ × 19²

Step-3: Factors of 7574

List of positive integer factors of 7574 that divides 7574 without a remainder.

1, 2, 7, 14, 541, 1082, 3787

Step-4: Factors of 7581

List of positive integer factors of 7581 that divides 7574 without a remainder.

1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7574 and 7581. The biggest common factor number is the GCF number.
So the greatest common factor 7574 and 7581 is 7.

Also check out the Least Common Multiple of 7574 and 7581