What is the Greatest Common Factor of 75350 and 75355?

Greatest common factor (GCF) of 75350 and 75355 is 5.

GCF(75350,75355) = 5

We will now calculate the prime factors of 75350 and 75355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75350 and 75355.

How to find the GCF of 75350 and 75355?

We will first find the prime factorization of 75350 and 75355. After we will calculate the factors of 75350 and 75355 and find the biggest common factor number .

Step-1: Prime Factorization of 75350

Prime factors of 75350 are 2, 5, 11, 137. Prime factorization of 75350 in exponential form is:

75350 = 2¹ × 5² × 11¹ × 137¹

Step-2: Prime Factorization of 75355

Prime factors of 75355 are 5, 7, 2153. Prime factorization of 75355 in exponential form is:

75355 = 5¹ × 7¹ × 2153¹

Step-3: Factors of 75350

List of positive integer factors of 75350 that divides 75350 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 137, 274, 275, 550, 685, 1370, 1507, 3014, 3425, 6850, 7535, 15070, 37675

Step-4: Factors of 75355

List of positive integer factors of 75355 that divides 75350 without a remainder.

1, 5, 7, 35, 2153, 10765, 15071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75350 and 75355. The biggest common factor number is the GCF number.
So the greatest common factor 75350 and 75355 is 5.

Also check out the Least Common Multiple of 75350 and 75355