What is the Greatest Common Factor of 67228 and 67235?

Greatest common factor (GCF) of 67228 and 67235 is 7.

GCF(67228,67235) = 7

We will now calculate the prime factors of 67228 and 67235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67228 and 67235.

How to find the GCF of 67228 and 67235?

We will first find the prime factorization of 67228 and 67235. After we will calculate the factors of 67228 and 67235 and find the biggest common factor number .

Step-1: Prime Factorization of 67228

Prime factors of 67228 are 2, 7. Prime factorization of 67228 in exponential form is:

67228 = 2² × 7⁵

Step-2: 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-3: Factors of 67228

List of positive integer factors of 67228 that divides 67228 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604, 16807, 33614

Step-4: Factors of 67235

List of positive integer factors of 67235 that divides 67228 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67228 and 67235. The biggest common factor number is the GCF number.
So the greatest common factor 67228 and 67235 is 7.

Also check out the Least Common Multiple of 67228 and 67235