What is the Greatest Common Factor of 7350 and 7358?

Greatest common factor (GCF) of 7350 and 7358 is 2.

GCF(7350,7358) = 2

We will now calculate the prime factors of 7350 and 7358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7350 and 7358.

How to find the GCF of 7350 and 7358?

We will first find the prime factorization of 7350 and 7358. After we will calculate the factors of 7350 and 7358 and find the biggest common factor number .

Step-1: Prime Factorization of 7350

Prime factors of 7350 are 2, 3, 5, 7. Prime factorization of 7350 in exponential form is:

7350 = 2¹ × 3¹ × 5² × 7²

Step-2: Prime Factorization of 7358

Prime factors of 7358 are 2, 13, 283. Prime factorization of 7358 in exponential form is:

7358 = 2¹ × 13¹ × 283¹

Step-3: Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675

Step-4: Factors of 7358

List of positive integer factors of 7358 that divides 7350 without a remainder.

1, 2, 13, 26, 283, 566, 3679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7350 and 7358. The biggest common factor number is the GCF number.
So the greatest common factor 7350 and 7358 is 2.

Also check out the Least Common Multiple of 7350 and 7358