What is the Greatest Common Factor of 67935 and 67949?

Greatest common factor (GCF) of 67935 and 67949 is 7.

GCF(67935,67949) = 7

We will now calculate the prime factors of 67935 and 67949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67935 and 67949.

How to find the GCF of 67935 and 67949?

We will first find the prime factorization of 67935 and 67949. After we will calculate the factors of 67935 and 67949 and find the biggest common factor number .

Step-1: Prime Factorization of 67935

Prime factors of 67935 are 3, 5, 7, 647. Prime factorization of 67935 in exponential form is:

67935 = 3¹ × 5¹ × 7¹ × 647¹

Step-2: Prime Factorization of 67949

Prime factors of 67949 are 7, 17, 571. Prime factorization of 67949 in exponential form is:

67949 = 7¹ × 17¹ × 571¹

Step-3: Factors of 67935

List of positive integer factors of 67935 that divides 67935 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 647, 1941, 3235, 4529, 9705, 13587, 22645

Step-4: Factors of 67949

List of positive integer factors of 67949 that divides 67935 without a remainder.

1, 7, 17, 119, 571, 3997, 9707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67935 and 67949. The biggest common factor number is the GCF number.
So the greatest common factor 67935 and 67949 is 7.

Also check out the Least Common Multiple of 67935 and 67949