What is the Greatest Common Factor of 69724 and 69737?

Greatest common factor (GCF) of 69724 and 69737 is 1.

GCF(69724,69737) = 1

We will now calculate the prime factors of 69724 and 69737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69724 and 69737.

How to find the GCF of 69724 and 69737?

We will first find the prime factorization of 69724 and 69737. After we will calculate the factors of 69724 and 69737 and find the biggest common factor number .

Step-1: Prime Factorization of 69724

Prime factors of 69724 are 2, 17431. Prime factorization of 69724 in exponential form is:

69724 = 2² × 17431¹

Step-2: Prime Factorization of 69737

Prime factors of 69737 are 69737. Prime factorization of 69737 in exponential form is:

69737 = 69737¹

Step-3: Factors of 69724

List of positive integer factors of 69724 that divides 69724 without a remainder.

1, 2, 4, 17431, 34862

Step-4: Factors of 69737

List of positive integer factors of 69737 that divides 69724 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69724 and 69737. The biggest common factor number is the GCF number.
So the greatest common factor 69724 and 69737 is 1.

Also check out the Least Common Multiple of 69724 and 69737