What is the Greatest Common Factor of 74685 and 74692?

Greatest common factor (GCF) of 74685 and 74692 is 1.

GCF(74685,74692) = 1

We will now calculate the prime factors of 74685 and 74692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74685 and 74692.

How to find the GCF of 74685 and 74692?

We will first find the prime factorization of 74685 and 74692. After we will calculate the factors of 74685 and 74692 and find the biggest common factor number .

Step-1: Prime Factorization of 74685

Prime factors of 74685 are 3, 5, 13, 383. Prime factorization of 74685 in exponential form is:

74685 = 3¹ × 5¹ × 13¹ × 383¹

Step-2: Prime Factorization of 74692

Prime factors of 74692 are 2, 71, 263. Prime factorization of 74692 in exponential form is:

74692 = 2² × 71¹ × 263¹

Step-3: Factors of 74685

List of positive integer factors of 74685 that divides 74685 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 383, 1149, 1915, 4979, 5745, 14937, 24895

Step-4: Factors of 74692

List of positive integer factors of 74692 that divides 74685 without a remainder.

1, 2, 4, 71, 142, 263, 284, 526, 1052, 18673, 37346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74685 and 74692. The biggest common factor number is the GCF number.
So the greatest common factor 74685 and 74692 is 1.

Also check out the Least Common Multiple of 74685 and 74692