What is the Greatest Common Factor of 75362 and 75370?

Greatest common factor (GCF) of 75362 and 75370 is 2.

GCF(75362,75370) = 2

We will now calculate the prime factors of 75362 and 75370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75362 and 75370.

How to find the GCF of 75362 and 75370?

We will first find the prime factorization of 75362 and 75370. After we will calculate the factors of 75362 and 75370 and find the biggest common factor number .

Step-1: Prime Factorization of 75362

Prime factors of 75362 are 2, 7, 769. Prime factorization of 75362 in exponential form is:

75362 = 2¹ × 7² × 769¹

Step-2: Prime Factorization of 75370

Prime factors of 75370 are 2, 5, 7537. Prime factorization of 75370 in exponential form is:

75370 = 2¹ × 5¹ × 7537¹

Step-3: Factors of 75362

List of positive integer factors of 75362 that divides 75362 without a remainder.

1, 2, 7, 14, 49, 98, 769, 1538, 5383, 10766, 37681

Step-4: Factors of 75370

List of positive integer factors of 75370 that divides 75362 without a remainder.

1, 2, 5, 10, 7537, 15074, 37685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75362 and 75370. The biggest common factor number is the GCF number.
So the greatest common factor 75362 and 75370 is 2.

Also check out the Least Common Multiple of 75362 and 75370