What is the Greatest Common Factor of 61388 and 61400?

Greatest common factor (GCF) of 61388 and 61400 is 4.

GCF(61388,61400) = 4

We will now calculate the prime factors of 61388 and 61400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61388 and 61400.

How to find the GCF of 61388 and 61400?

We will first find the prime factorization of 61388 and 61400. After we will calculate the factors of 61388 and 61400 and find the biggest common factor number .

Step-1: Prime Factorization of 61388

Prime factors of 61388 are 2, 103, 149. Prime factorization of 61388 in exponential form is:

61388 = 2² × 103¹ × 149¹

Step-2: Prime Factorization of 61400

Prime factors of 61400 are 2, 5, 307. Prime factorization of 61400 in exponential form is:

61400 = 2³ × 5² × 307¹

Step-3: Factors of 61388

List of positive integer factors of 61388 that divides 61388 without a remainder.

1, 2, 4, 103, 149, 206, 298, 412, 596, 15347, 30694

Step-4: Factors of 61400

List of positive integer factors of 61400 that divides 61388 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 307, 614, 1228, 1535, 2456, 3070, 6140, 7675, 12280, 15350, 30700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61388 and 61400. The biggest common factor number is the GCF number.
So the greatest common factor 61388 and 61400 is 4.

Also check out the Least Common Multiple of 61388 and 61400