What is the Greatest Common Factor of 74755 and 74764?

Greatest common factor (GCF) of 74755 and 74764 is 1.

GCF(74755,74764) = 1

We will now calculate the prime factors of 74755 and 74764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74755 and 74764.

How to find the GCF of 74755 and 74764?

We will first find the prime factorization of 74755 and 74764. After we will calculate the factors of 74755 and 74764 and find the biggest common factor number .

Step-1: Prime Factorization of 74755

Prime factors of 74755 are 5, 14951. Prime factorization of 74755 in exponential form is:

74755 = 5¹ × 14951¹

Step-2: Prime Factorization of 74764

Prime factors of 74764 are 2, 18691. Prime factorization of 74764 in exponential form is:

74764 = 2² × 18691¹

Step-3: Factors of 74755

List of positive integer factors of 74755 that divides 74755 without a remainder.

1, 5, 14951

Step-4: Factors of 74764

List of positive integer factors of 74764 that divides 74755 without a remainder.

1, 2, 4, 18691, 37382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74755 and 74764. The biggest common factor number is the GCF number.
So the greatest common factor 74755 and 74764 is 1.

Also check out the Least Common Multiple of 74755 and 74764