What is the Greatest Common Factor of 9370 and 9380?

Greatest common factor (GCF) of 9370 and 9380 is 10.

GCF(9370,9380) = 10

We will now calculate the prime factors of 9370 and 9380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9370 and 9380.

How to find the GCF of 9370 and 9380?

We will first find the prime factorization of 9370 and 9380. After we will calculate the factors of 9370 and 9380 and find the biggest common factor number .

Step-1: Prime Factorization of 9370

Prime factors of 9370 are 2, 5, 937. Prime factorization of 9370 in exponential form is:

9370 = 2¹ × 5¹ × 937¹

Step-2: Prime Factorization of 9380

Prime factors of 9380 are 2, 5, 7, 67. Prime factorization of 9380 in exponential form is:

9380 = 2² × 5¹ × 7¹ × 67¹

Step-3: Factors of 9370

List of positive integer factors of 9370 that divides 9370 without a remainder.

1, 2, 5, 10, 937, 1874, 4685

Step-4: Factors of 9380

List of positive integer factors of 9380 that divides 9370 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9370 and 9380. The biggest common factor number is the GCF number.
So the greatest common factor 9370 and 9380 is 10.

Also check out the Least Common Multiple of 9370 and 9380