What is the Greatest Common Factor of 37464 and 37469?

Greatest common factor (GCF) of 37464 and 37469 is 1.

GCF(37464,37469) = 1

We will now calculate the prime factors of 37464 and 37469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37464 and 37469.

How to find the GCF of 37464 and 37469?

We will first find the prime factorization of 37464 and 37469. After we will calculate the factors of 37464 and 37469 and find the biggest common factor number .

Step-1: Prime Factorization of 37464

Prime factors of 37464 are 2, 3, 7, 223. Prime factorization of 37464 in exponential form is:

37464 = 2³ × 3¹ × 7¹ × 223¹

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 37464

List of positive integer factors of 37464 that divides 37464 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 223, 446, 669, 892, 1338, 1561, 1784, 2676, 3122, 4683, 5352, 6244, 9366, 12488, 18732

Step-4: Factors of 37469

List of positive integer factors of 37469 that divides 37464 without a remainder.

1, 89, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37464 and 37469. The biggest common factor number is the GCF number.
So the greatest common factor 37464 and 37469 is 1.

Also check out the Least Common Multiple of 37464 and 37469