What is the Greatest Common Factor of 7350 and 7370?

Greatest common factor (GCF) of 7350 and 7370 is 10.

GCF(7350,7370) = 10

We will now calculate the prime factors of 7350 and 7370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7350 and 7370.

How to find the GCF of 7350 and 7370?

We will first find the prime factorization of 7350 and 7370. After we will calculate the factors of 7350 and 7370 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 7370

Prime factors of 7370 are 2, 5, 11, 67. Prime factorization of 7370 in exponential form is:

7370 = 2¹ × 5¹ × 11¹ × 67¹

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 7370

List of positive integer factors of 7370 that divides 7350 without a remainder.

1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7350 and 7370. The biggest common factor number is the GCF number.
So the greatest common factor 7350 and 7370 is 10.

Also check out the Least Common Multiple of 7350 and 7370