What is the Greatest Common Factor of 61739 and 61752?

Greatest common factor (GCF) of 61739 and 61752 is 1.

GCF(61739,61752) = 1

We will now calculate the prime factors of 61739 and 61752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61739 and 61752.

How to find the GCF of 61739 and 61752?

We will first find the prime factorization of 61739 and 61752. After we will calculate the factors of 61739 and 61752 and find the biggest common factor number .

Step-1: Prime Factorization of 61739

Prime factors of 61739 are 107, 577. Prime factorization of 61739 in exponential form is:

61739 = 107¹ × 577¹

Step-2: Prime Factorization of 61752

Prime factors of 61752 are 2, 3, 31, 83. Prime factorization of 61752 in exponential form is:

61752 = 2³ × 3¹ × 31¹ × 83¹

Step-3: Factors of 61739

List of positive integer factors of 61739 that divides 61739 without a remainder.

1, 107, 577

Step-4: Factors of 61752

List of positive integer factors of 61752 that divides 61739 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 83, 93, 124, 166, 186, 248, 249, 332, 372, 498, 664, 744, 996, 1992, 2573, 5146, 7719, 10292, 15438, 20584, 30876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61739 and 61752. The biggest common factor number is the GCF number.
So the greatest common factor 61739 and 61752 is 1.

Also check out the Least Common Multiple of 61739 and 61752