What is the Greatest Common Factor of 67888 and 67900?

Greatest common factor (GCF) of 67888 and 67900 is 4.

GCF(67888,67900) = 4

We will now calculate the prime factors of 67888 and 67900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67888 and 67900.

How to find the GCF of 67888 and 67900?

We will first find the prime factorization of 67888 and 67900. After we will calculate the factors of 67888 and 67900 and find the biggest common factor number .

Step-1: Prime Factorization of 67888

Prime factors of 67888 are 2, 4243. Prime factorization of 67888 in exponential form is:

67888 = 2⁴ × 4243¹

Step-2: Prime Factorization of 67900

Prime factors of 67900 are 2, 5, 7, 97. Prime factorization of 67900 in exponential form is:

67900 = 2² × 5² × 7¹ × 97¹

Step-3: Factors of 67888

List of positive integer factors of 67888 that divides 67888 without a remainder.

1, 2, 4, 8, 16, 4243, 8486, 16972, 33944

Step-4: Factors of 67900

List of positive integer factors of 67900 that divides 67888 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 97, 100, 140, 175, 194, 350, 388, 485, 679, 700, 970, 1358, 1940, 2425, 2716, 3395, 4850, 6790, 9700, 13580, 16975, 33950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67888 and 67900. The biggest common factor number is the GCF number.
So the greatest common factor 67888 and 67900 is 4.

Also check out the Least Common Multiple of 67888 and 67900