What is the Greatest Common Factor of 37214 and 37229?

Greatest common factor (GCF) of 37214 and 37229 is 1.

GCF(37214,37229) = 1

We will now calculate the prime factors of 37214 and 37229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37214 and 37229.

How to find the GCF of 37214 and 37229?

We will first find the prime factorization of 37214 and 37229. After we will calculate the factors of 37214 and 37229 and find the biggest common factor number .

Step-1: Prime Factorization of 37214

Prime factors of 37214 are 2, 23, 809. Prime factorization of 37214 in exponential form is:

37214 = 2¹ × 23¹ × 809¹

Step-2: Prime Factorization of 37229

Prime factors of 37229 are 59, 631. Prime factorization of 37229 in exponential form is:

37229 = 59¹ × 631¹

Step-3: Factors of 37214

List of positive integer factors of 37214 that divides 37214 without a remainder.

1, 2, 23, 46, 809, 1618, 18607

Step-4: Factors of 37229

List of positive integer factors of 37229 that divides 37214 without a remainder.

1, 59, 631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37214 and 37229. The biggest common factor number is the GCF number.
So the greatest common factor 37214 and 37229 is 1.

Also check out the Least Common Multiple of 37214 and 37229