What is the Greatest Common Factor of 29374 and 29385?

Greatest common factor (GCF) of 29374 and 29385 is 1.

GCF(29374,29385) = 1

We will now calculate the prime factors of 29374 and 29385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29374 and 29385.

How to find the GCF of 29374 and 29385?

We will first find the prime factorization of 29374 and 29385. After we will calculate the factors of 29374 and 29385 and find the biggest common factor number .

Step-1: Prime Factorization of 29374

Prime factors of 29374 are 2, 19, 773. Prime factorization of 29374 in exponential form is:

29374 = 2¹ × 19¹ × 773¹

Step-2: Prime Factorization of 29385

Prime factors of 29385 are 3, 5, 653. Prime factorization of 29385 in exponential form is:

29385 = 3² × 5¹ × 653¹

Step-3: Factors of 29374

List of positive integer factors of 29374 that divides 29374 without a remainder.

1, 2, 19, 38, 773, 1546, 14687

Step-4: Factors of 29385

List of positive integer factors of 29385 that divides 29374 without a remainder.

1, 3, 5, 9, 15, 45, 653, 1959, 3265, 5877, 9795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29374 and 29385. The biggest common factor number is the GCF number.
So the greatest common factor 29374 and 29385 is 1.

Also check out the Least Common Multiple of 29374 and 29385