What is the Greatest Common Factor of 69537 and 69542?

Greatest common factor (GCF) of 69537 and 69542 is 1.

GCF(69537,69542) = 1

We will now calculate the prime factors of 69537 and 69542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69537 and 69542.

How to find the GCF of 69537 and 69542?

We will first find the prime factorization of 69537 and 69542. After we will calculate the factors of 69537 and 69542 and find the biggest common factor number .

Step-1: Prime Factorization of 69537

Prime factors of 69537 are 3, 13, 1783. Prime factorization of 69537 in exponential form is:

69537 = 3¹ × 13¹ × 1783¹

Step-2: Prime Factorization of 69542

Prime factors of 69542 are 2, 11, 29, 109. Prime factorization of 69542 in exponential form is:

69542 = 2¹ × 11¹ × 29¹ × 109¹

Step-3: Factors of 69537

List of positive integer factors of 69537 that divides 69537 without a remainder.

1, 3, 13, 39, 1783, 5349, 23179

Step-4: Factors of 69542

List of positive integer factors of 69542 that divides 69537 without a remainder.

1, 2, 11, 22, 29, 58, 109, 218, 319, 638, 1199, 2398, 3161, 6322, 34771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69537 and 69542. The biggest common factor number is the GCF number.
So the greatest common factor 69537 and 69542 is 1.

Also check out the Least Common Multiple of 69537 and 69542