What is the Greatest Common Factor of 75292 and 75299?

Greatest common factor (GCF) of 75292 and 75299 is 7.

GCF(75292,75299) = 7

We will now calculate the prime factors of 75292 and 75299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75292 and 75299.

How to find the GCF of 75292 and 75299?

We will first find the prime factorization of 75292 and 75299. After we will calculate the factors of 75292 and 75299 and find the biggest common factor number .

Step-1: Prime Factorization of 75292

Prime factors of 75292 are 2, 7, 2689. Prime factorization of 75292 in exponential form is:

75292 = 2² × 7¹ × 2689¹

Step-2: Prime Factorization of 75299

Prime factors of 75299 are 7, 31, 347. Prime factorization of 75299 in exponential form is:

75299 = 7¹ × 31¹ × 347¹

Step-3: Factors of 75292

List of positive integer factors of 75292 that divides 75292 without a remainder.

1, 2, 4, 7, 14, 28, 2689, 5378, 10756, 18823, 37646

Step-4: Factors of 75299

List of positive integer factors of 75299 that divides 75292 without a remainder.

1, 7, 31, 217, 347, 2429, 10757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75292 and 75299. The biggest common factor number is the GCF number.
So the greatest common factor 75292 and 75299 is 7.

Also check out the Least Common Multiple of 75292 and 75299