What is the Greatest Common Factor of 37449 and 37469?

Greatest common factor (GCF) of 37449 and 37469 is 1.

GCF(37449,37469) = 1

We will now calculate the prime factors of 37449 and 37469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37449 and 37469.

How to find the GCF of 37449 and 37469?

We will first find the prime factorization of 37449 and 37469. After we will calculate the factors of 37449 and 37469 and find the biggest common factor number .

Step-1: Prime Factorization of 37449

Prime factors of 37449 are 3, 19, 73. Prime factorization of 37449 in exponential form is:

37449 = 3³ × 19¹ × 73¹

Step-2: Prime Factorization of 37469

Prime factors of 37469 are 89, 421. Prime factorization of 37469 in exponential form is:

37469 = 89¹ × 421¹

Step-3: Factors of 37449

List of positive integer factors of 37449 that divides 37449 without a remainder.

1, 3, 9, 19, 27, 57, 73, 171, 219, 513, 657, 1387, 1971, 4161, 12483

Step-4: Factors of 37469

List of positive integer factors of 37469 that divides 37449 without a remainder.

1, 89, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37449 and 37469. The biggest common factor number is the GCF number.
So the greatest common factor 37449 and 37469 is 1.

Also check out the Least Common Multiple of 37449 and 37469