What is the Greatest Common Factor of 37190 and 37198?

Greatest common factor (GCF) of 37190 and 37198 is 2.

GCF(37190,37198) = 2

We will now calculate the prime factors of 37190 and 37198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37190 and 37198.

How to find the GCF of 37190 and 37198?

We will first find the prime factorization of 37190 and 37198. After we will calculate the factors of 37190 and 37198 and find the biggest common factor number .

Step-1: Prime Factorization of 37190

Prime factors of 37190 are 2, 5, 3719. Prime factorization of 37190 in exponential form is:

37190 = 2¹ × 5¹ × 3719¹

Step-2: Prime Factorization of 37198

Prime factors of 37198 are 2, 7, 2657. Prime factorization of 37198 in exponential form is:

37198 = 2¹ × 7¹ × 2657¹

Step-3: Factors of 37190

List of positive integer factors of 37190 that divides 37190 without a remainder.

1, 2, 5, 10, 3719, 7438, 18595

Step-4: Factors of 37198

List of positive integer factors of 37198 that divides 37190 without a remainder.

1, 2, 7, 14, 2657, 5314, 18599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37190 and 37198. The biggest common factor number is the GCF number.
So the greatest common factor 37190 and 37198 is 2.

Also check out the Least Common Multiple of 37190 and 37198