What is the Greatest Common Factor of 61748 and 61752?

Greatest common factor (GCF) of 61748 and 61752 is 4.

GCF(61748,61752) = 4

We will now calculate the prime factors of 61748 and 61752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61748 and 61752.

How to find the GCF of 61748 and 61752?

We will first find the prime factorization of 61748 and 61752. After we will calculate the factors of 61748 and 61752 and find the biggest common factor number .

Step-1: Prime Factorization of 61748

Prime factors of 61748 are 2, 43, 359. Prime factorization of 61748 in exponential form is:

61748 = 2² × 43¹ × 359¹

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 61748

List of positive integer factors of 61748 that divides 61748 without a remainder.

1, 2, 4, 43, 86, 172, 359, 718, 1436, 15437, 30874

Step-4: Factors of 61752

List of positive integer factors of 61752 that divides 61748 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 61748 and 61752. The biggest common factor number is the GCF number.
So the greatest common factor 61748 and 61752 is 4.

Also check out the Least Common Multiple of 61748 and 61752