What is the Greatest Common Factor of 65745 and 65762?

Greatest common factor (GCF) of 65745 and 65762 is 1.

GCF(65745,65762) = 1

We will now calculate the prime factors of 65745 and 65762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65745 and 65762.

How to find the GCF of 65745 and 65762?

We will first find the prime factorization of 65745 and 65762. After we will calculate the factors of 65745 and 65762 and find the biggest common factor number .

Step-1: Prime Factorization of 65745

Prime factors of 65745 are 3, 5, 487. Prime factorization of 65745 in exponential form is:

65745 = 3³ × 5¹ × 487¹

Step-2: Prime Factorization of 65762

Prime factors of 65762 are 2, 131, 251. Prime factorization of 65762 in exponential form is:

65762 = 2¹ × 131¹ × 251¹

Step-3: Factors of 65745

List of positive integer factors of 65745 that divides 65745 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 487, 1461, 2435, 4383, 7305, 13149, 21915

Step-4: Factors of 65762

List of positive integer factors of 65762 that divides 65745 without a remainder.

1, 2, 131, 251, 262, 502, 32881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65745 and 65762. The biggest common factor number is the GCF number.
So the greatest common factor 65745 and 65762 is 1.

Also check out the Least Common Multiple of 65745 and 65762