What is the Greatest Common Factor of 58642 and 58661?

Greatest common factor (GCF) of 58642 and 58661 is 1.

GCF(58642,58661) = 1

We will now calculate the prime factors of 58642 and 58661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58642 and 58661.

How to find the GCF of 58642 and 58661?

We will first find the prime factorization of 58642 and 58661. After we will calculate the factors of 58642 and 58661 and find the biggest common factor number .

Step-1: Prime Factorization of 58642

Prime factors of 58642 are 2, 109, 269. Prime factorization of 58642 in exponential form is:

58642 = 2¹ × 109¹ × 269¹

Step-2: Prime Factorization of 58661

Prime factors of 58661 are 58661. Prime factorization of 58661 in exponential form is:

58661 = 58661¹

Step-3: Factors of 58642

List of positive integer factors of 58642 that divides 58642 without a remainder.

1, 2, 109, 218, 269, 538, 29321

Step-4: Factors of 58661

List of positive integer factors of 58661 that divides 58642 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58642 and 58661. The biggest common factor number is the GCF number.
So the greatest common factor 58642 and 58661 is 1.

Also check out the Least Common Multiple of 58642 and 58661