What is the Greatest Common Factor of 75322 and 75335?

Greatest common factor (GCF) of 75322 and 75335 is 13.

GCF(75322,75335) = 13

We will now calculate the prime factors of 75322 and 75335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75322 and 75335.

How to find the GCF of 75322 and 75335?

We will first find the prime factorization of 75322 and 75335. After we will calculate the factors of 75322 and 75335 and find the biggest common factor number .

Step-1: Prime Factorization of 75322

Prime factors of 75322 are 2, 13, 2897. Prime factorization of 75322 in exponential form is:

75322 = 2¹ × 13¹ × 2897¹

Step-2: 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-3: Factors of 75322

List of positive integer factors of 75322 that divides 75322 without a remainder.

1, 2, 13, 26, 2897, 5794, 37661

Step-4: Factors of 75335

List of positive integer factors of 75335 that divides 75322 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75322 and 75335. The biggest common factor number is the GCF number.
So the greatest common factor 75322 and 75335 is 13.

Also check out the Least Common Multiple of 75322 and 75335