What is the Greatest Common Factor of 37414 and 37430?

Greatest common factor (GCF) of 37414 and 37430 is 2.

GCF(37414,37430) = 2

We will now calculate the prime factors of 37414 and 37430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37414 and 37430.

How to find the GCF of 37414 and 37430?

We will first find the prime factorization of 37414 and 37430. After we will calculate the factors of 37414 and 37430 and find the biggest common factor number .

Step-1: Prime Factorization of 37414

Prime factors of 37414 are 2, 13, 1439. Prime factorization of 37414 in exponential form is:

37414 = 2¹ × 13¹ × 1439¹

Step-2: Prime Factorization of 37430

Prime factors of 37430 are 2, 5, 19, 197. Prime factorization of 37430 in exponential form is:

37430 = 2¹ × 5¹ × 19¹ × 197¹

Step-3: Factors of 37414

List of positive integer factors of 37414 that divides 37414 without a remainder.

1, 2, 13, 26, 1439, 2878, 18707

Step-4: Factors of 37430

List of positive integer factors of 37430 that divides 37414 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 197, 394, 985, 1970, 3743, 7486, 18715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37414 and 37430. The biggest common factor number is the GCF number.
So the greatest common factor 37414 and 37430 is 2.

Also check out the Least Common Multiple of 37414 and 37430