What is the Greatest Common Factor of 61829 and 61837?

Greatest common factor (GCF) of 61829 and 61837 is 1.

GCF(61829,61837) = 1

We will now calculate the prime factors of 61829 and 61837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61829 and 61837.

How to find the GCF of 61829 and 61837?

We will first find the prime factorization of 61829 and 61837. After we will calculate the factors of 61829 and 61837 and find the biggest common factor number .

Step-1: Prime Factorization of 61829

Prime factors of 61829 are 17, 3637. Prime factorization of 61829 in exponential form is:

61829 = 17¹ × 3637¹

Step-2: Prime Factorization of 61837

Prime factors of 61837 are 61837. Prime factorization of 61837 in exponential form is:

61837 = 61837¹

Step-3: Factors of 61829

List of positive integer factors of 61829 that divides 61829 without a remainder.

1, 17, 3637

Step-4: Factors of 61837

List of positive integer factors of 61837 that divides 61829 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61829 and 61837. The biggest common factor number is the GCF number.
So the greatest common factor 61829 and 61837 is 1.

Also check out the Least Common Multiple of 61829 and 61837