What is the Greatest Common Factor of 61747 and 61752?

Greatest common factor (GCF) of 61747 and 61752 is 1.

GCF(61747,61752) = 1

We will now calculate the prime factors of 61747 and 61752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61747 and 61752.

How to find the GCF of 61747 and 61752?

We will first find the prime factorization of 61747 and 61752. After we will calculate the factors of 61747 and 61752 and find the biggest common factor number .

Step-1: Prime Factorization of 61747

Prime factors of 61747 are 7, 8821. Prime factorization of 61747 in exponential form is:

61747 = 7¹ × 8821¹

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 61747

List of positive integer factors of 61747 that divides 61747 without a remainder.

1, 7, 8821

Step-4: Factors of 61752

List of positive integer factors of 61752 that divides 61747 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 61747 and 61752. The biggest common factor number is the GCF number.
So the greatest common factor 61747 and 61752 is 1.

Also check out the Least Common Multiple of 61747 and 61752