What is the Greatest Common Factor of 67900 and 67905?

Greatest common factor (GCF) of 67900 and 67905 is 5.

GCF(67900,67905) = 5

We will now calculate the prime factors of 67900 and 67905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67900 and 67905.

How to find the GCF of 67900 and 67905?

We will first find the prime factorization of 67900 and 67905. After we will calculate the factors of 67900 and 67905 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67905

Prime factors of 67905 are 3, 5, 503. Prime factorization of 67905 in exponential form is:

67905 = 3³ × 5¹ × 503¹

Step-3: Factors of 67900

List of positive integer factors of 67900 that divides 67900 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

Step-4: Factors of 67905

List of positive integer factors of 67905 that divides 67900 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 503, 1509, 2515, 4527, 7545, 13581, 22635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67900 and 67905. The biggest common factor number is the GCF number.
So the greatest common factor 67900 and 67905 is 5.

Also check out the Least Common Multiple of 67900 and 67905