What is the Greatest Common Factor of 7554 and 7574?

Greatest common factor (GCF) of 7554 and 7574 is 2.

GCF(7554,7574) = 2

We will now calculate the prime factors of 7554 and 7574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7554 and 7574.

How to find the GCF of 7554 and 7574?

We will first find the prime factorization of 7554 and 7574. After we will calculate the factors of 7554 and 7574 and find the biggest common factor number .

Step-1: Prime Factorization of 7554

Prime factors of 7554 are 2, 3, 1259. Prime factorization of 7554 in exponential form is:

7554 = 2¹ × 3¹ × 1259¹

Step-2: 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-3: Factors of 7554

List of positive integer factors of 7554 that divides 7554 without a remainder.

1, 2, 3, 6, 1259, 2518, 3777

Step-4: Factors of 7574

List of positive integer factors of 7574 that divides 7554 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7554 and 7574. The biggest common factor number is the GCF number.
So the greatest common factor 7554 and 7574 is 2.

Also check out the Least Common Multiple of 7554 and 7574