What is the Greatest Common Factor of 67235 and 67255?

Greatest common factor (GCF) of 67235 and 67255 is 5.

GCF(67235,67255) = 5

We will now calculate the prime factors of 67235 and 67255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67235 and 67255.

How to find the GCF of 67235 and 67255?

We will first find the prime factorization of 67235 and 67255. After we will calculate the factors of 67235 and 67255 and find the biggest common factor number .

Step-1: Prime Factorization of 67235

Prime factors of 67235 are 5, 7, 17, 113. Prime factorization of 67235 in exponential form is:

67235 = 5¹ × 7¹ × 17¹ × 113¹

Step-2: Prime Factorization of 67255

Prime factors of 67255 are 5, 13451. Prime factorization of 67255 in exponential form is:

67255 = 5¹ × 13451¹

Step-3: Factors of 67235

List of positive integer factors of 67235 that divides 67235 without a remainder.

1, 5, 7, 17, 35, 85, 113, 119, 565, 595, 791, 1921, 3955, 9605, 13447

Step-4: Factors of 67255

List of positive integer factors of 67255 that divides 67235 without a remainder.

1, 5, 13451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67235 and 67255. The biggest common factor number is the GCF number.
So the greatest common factor 67235 and 67255 is 5.

Also check out the Least Common Multiple of 67235 and 67255