What is the Greatest Common Factor of 37358 and 37370?

Greatest common factor (GCF) of 37358 and 37370 is 2.

GCF(37358,37370) = 2

We will now calculate the prime factors of 37358 and 37370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37358 and 37370.

How to find the GCF of 37358 and 37370?

We will first find the prime factorization of 37358 and 37370. After we will calculate the factors of 37358 and 37370 and find the biggest common factor number .

Step-1: Prime Factorization of 37358

Prime factors of 37358 are 2, 18679. Prime factorization of 37358 in exponential form is:

37358 = 2¹ × 18679¹

Step-2: Prime Factorization of 37370

Prime factors of 37370 are 2, 5, 37, 101. Prime factorization of 37370 in exponential form is:

37370 = 2¹ × 5¹ × 37¹ × 101¹

Step-3: Factors of 37358

List of positive integer factors of 37358 that divides 37358 without a remainder.

1, 2, 18679

Step-4: Factors of 37370

List of positive integer factors of 37370 that divides 37358 without a remainder.

1, 2, 5, 10, 37, 74, 101, 185, 202, 370, 505, 1010, 3737, 7474, 18685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37358 and 37370. The biggest common factor number is the GCF number.
So the greatest common factor 37358 and 37370 is 2.

Also check out the Least Common Multiple of 37358 and 37370