What is the Greatest Common Factor of 7574 and 7588?

Greatest common factor (GCF) of 7574 and 7588 is 14.

GCF(7574,7588) = 14

We will now calculate the prime factors of 7574 and 7588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7574 and 7588.

How to find the GCF of 7574 and 7588?

We will first find the prime factorization of 7574 and 7588. After we will calculate the factors of 7574 and 7588 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 7588

Prime factors of 7588 are 2, 7, 271. Prime factorization of 7588 in exponential form is:

7588 = 2² × 7¹ × 271¹

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 7588

List of positive integer factors of 7588 that divides 7574 without a remainder.

1, 2, 4, 7, 14, 28, 271, 542, 1084, 1897, 3794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7574 and 7588. The biggest common factor number is the GCF number.
So the greatest common factor 7574 and 7588 is 14.

Also check out the Least Common Multiple of 7574 and 7588