What is the Greatest Common Factor of 75335 and 75354?

Greatest common factor (GCF) of 75335 and 75354 is 19.

GCF(75335,75354) = 19

We will now calculate the prime factors of 75335 and 75354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75335 and 75354.

How to find the GCF of 75335 and 75354?

We will first find the prime factorization of 75335 and 75354. After we will calculate the factors of 75335 and 75354 and find the biggest common factor number .

Step-1: Prime Factorization of 75335

Prime factors of 75335 are 5, 13, 19, 61. Prime factorization of 75335 in exponential form is:

75335 = 5¹ × 13¹ × 19¹ × 61¹

Step-2: Prime Factorization of 75354

Prime factors of 75354 are 2, 3, 19, 661. Prime factorization of 75354 in exponential form is:

75354 = 2¹ × 3¹ × 19¹ × 661¹

Step-3: Factors of 75335

List of positive integer factors of 75335 that divides 75335 without a remainder.

1, 5, 13, 19, 61, 65, 95, 247, 305, 793, 1159, 1235, 3965, 5795, 15067

Step-4: Factors of 75354

List of positive integer factors of 75354 that divides 75335 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 661, 1322, 1983, 3966, 12559, 25118, 37677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75335 and 75354. The biggest common factor number is the GCF number.
So the greatest common factor 75335 and 75354 is 19.

Also check out the Least Common Multiple of 75335 and 75354