What is the Greatest Common Factor of 61716 and 61720?

Greatest common factor (GCF) of 61716 and 61720 is 4.

GCF(61716,61720) = 4

We will now calculate the prime factors of 61716 and 61720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61716 and 61720.

How to find the GCF of 61716 and 61720?

We will first find the prime factorization of 61716 and 61720. After we will calculate the factors of 61716 and 61720 and find the biggest common factor number .

Step-1: Prime Factorization of 61716

Prime factors of 61716 are 2, 3, 37, 139. Prime factorization of 61716 in exponential form is:

61716 = 2² × 3¹ × 37¹ × 139¹

Step-2: Prime Factorization of 61720

Prime factors of 61720 are 2, 5, 1543. Prime factorization of 61720 in exponential form is:

61720 = 2³ × 5¹ × 1543¹

Step-3: Factors of 61716

List of positive integer factors of 61716 that divides 61716 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 139, 148, 222, 278, 417, 444, 556, 834, 1668, 5143, 10286, 15429, 20572, 30858

Step-4: Factors of 61720

List of positive integer factors of 61720 that divides 61716 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1543, 3086, 6172, 7715, 12344, 15430, 30860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61716 and 61720. The biggest common factor number is the GCF number.
So the greatest common factor 61716 and 61720 is 4.

Also check out the Least Common Multiple of 61716 and 61720