What is the Greatest Common Factor of 67235 and 67252?

Greatest common factor (GCF) of 67235 and 67252 is 17.

GCF(67235,67252) = 17

We will now calculate the prime factors of 67235 and 67252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67235 and 67252.

How to find the GCF of 67235 and 67252?

We will first find the prime factorization of 67235 and 67252. After we will calculate the factors of 67235 and 67252 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 67252

Prime factors of 67252 are 2, 17, 23, 43. Prime factorization of 67252 in exponential form is:

67252 = 2² × 17¹ × 23¹ × 43¹

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 67252

List of positive integer factors of 67252 that divides 67235 without a remainder.

1, 2, 4, 17, 23, 34, 43, 46, 68, 86, 92, 172, 391, 731, 782, 989, 1462, 1564, 1978, 2924, 3956, 16813, 33626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67235 and 67252. The biggest common factor number is the GCF number.
So the greatest common factor 67235 and 67252 is 17.

Also check out the Least Common Multiple of 67235 and 67252