What is the Greatest Common Factor of 61288 and 61300?

Greatest common factor (GCF) of 61288 and 61300 is 4.

GCF(61288,61300) = 4

We will now calculate the prime factors of 61288 and 61300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61288 and 61300.

How to find the GCF of 61288 and 61300?

We will first find the prime factorization of 61288 and 61300. After we will calculate the factors of 61288 and 61300 and find the biggest common factor number .

Step-1: Prime Factorization of 61288

Prime factors of 61288 are 2, 47, 163. Prime factorization of 61288 in exponential form is:

61288 = 2³ × 47¹ × 163¹

Step-2: Prime Factorization of 61300

Prime factors of 61300 are 2, 5, 613. Prime factorization of 61300 in exponential form is:

61300 = 2² × 5² × 613¹

Step-3: Factors of 61288

List of positive integer factors of 61288 that divides 61288 without a remainder.

1, 2, 4, 8, 47, 94, 163, 188, 326, 376, 652, 1304, 7661, 15322, 30644

Step-4: Factors of 61300

List of positive integer factors of 61300 that divides 61288 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 613, 1226, 2452, 3065, 6130, 12260, 15325, 30650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61288 and 61300. The biggest common factor number is the GCF number.
So the greatest common factor 61288 and 61300 is 4.

Also check out the Least Common Multiple of 61288 and 61300