What is the Greatest Common Factor of 61888 and 61900?

Greatest common factor (GCF) of 61888 and 61900 is 4.

GCF(61888,61900) = 4

We will now calculate the prime factors of 61888 and 61900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61888 and 61900.

How to find the GCF of 61888 and 61900?

We will first find the prime factorization of 61888 and 61900. After we will calculate the factors of 61888 and 61900 and find the biggest common factor number .

Step-1: Prime Factorization of 61888

Prime factors of 61888 are 2, 967. Prime factorization of 61888 in exponential form is:

61888 = 2⁶ × 967¹

Step-2: Prime Factorization of 61900

Prime factors of 61900 are 2, 5, 619. Prime factorization of 61900 in exponential form is:

61900 = 2² × 5² × 619¹

Step-3: Factors of 61888

List of positive integer factors of 61888 that divides 61888 without a remainder.

1, 2, 4, 8, 16, 32, 64, 967, 1934, 3868, 7736, 15472, 30944

Step-4: Factors of 61900

List of positive integer factors of 61900 that divides 61888 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 619, 1238, 2476, 3095, 6190, 12380, 15475, 30950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61888 and 61900. The biggest common factor number is the GCF number.
So the greatest common factor 61888 and 61900 is 4.

Also check out the Least Common Multiple of 61888 and 61900