What is the Greatest Common Factor of 65675 and 65693?

Greatest common factor (GCF) of 65675 and 65693 is 1.

GCF(65675,65693) = 1

We will now calculate the prime factors of 65675 and 65693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65675 and 65693.

How to find the GCF of 65675 and 65693?

We will first find the prime factorization of 65675 and 65693. After we will calculate the factors of 65675 and 65693 and find the biggest common factor number .

Step-1: Prime Factorization of 65675

Prime factors of 65675 are 5, 37, 71. Prime factorization of 65675 in exponential form is:

65675 = 5² × 37¹ × 71¹

Step-2: Prime Factorization of 65693

Prime factors of 65693 are 179, 367. Prime factorization of 65693 in exponential form is:

65693 = 179¹ × 367¹

Step-3: Factors of 65675

List of positive integer factors of 65675 that divides 65675 without a remainder.

1, 5, 25, 37, 71, 185, 355, 925, 1775, 2627, 13135

Step-4: Factors of 65693

List of positive integer factors of 65693 that divides 65675 without a remainder.

1, 179, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65675 and 65693. The biggest common factor number is the GCF number.
So the greatest common factor 65675 and 65693 is 1.

Also check out the Least Common Multiple of 65675 and 65693