What is the Greatest Common Factor of 75390 and 75410?

Greatest common factor (GCF) of 75390 and 75410 is 10.

GCF(75390,75410) = 10

We will now calculate the prime factors of 75390 and 75410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75390 and 75410.

How to find the GCF of 75390 and 75410?

We will first find the prime factorization of 75390 and 75410. After we will calculate the factors of 75390 and 75410 and find the biggest common factor number .

Step-1: Prime Factorization of 75390

Prime factors of 75390 are 2, 3, 5, 7, 359. Prime factorization of 75390 in exponential form is:

75390 = 2¹ × 3¹ × 5¹ × 7¹ × 359¹

Step-2: Prime Factorization of 75410

Prime factors of 75410 are 2, 5, 7541. Prime factorization of 75410 in exponential form is:

75410 = 2¹ × 5¹ × 7541¹

Step-3: Factors of 75390

List of positive integer factors of 75390 that divides 75390 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 359, 718, 1077, 1795, 2154, 2513, 3590, 5026, 5385, 7539, 10770, 12565, 15078, 25130, 37695

Step-4: Factors of 75410

List of positive integer factors of 75410 that divides 75390 without a remainder.

1, 2, 5, 10, 7541, 15082, 37705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75390 and 75410. The biggest common factor number is the GCF number.
So the greatest common factor 75390 and 75410 is 10.

Also check out the Least Common Multiple of 75390 and 75410