What is the Greatest Common Factor of 75450 and 75470?

Greatest common factor (GCF) of 75450 and 75470 is 10.

GCF(75450,75470) = 10

We will now calculate the prime factors of 75450 and 75470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75450 and 75470.

How to find the GCF of 75450 and 75470?

We will first find the prime factorization of 75450 and 75470. After we will calculate the factors of 75450 and 75470 and find the biggest common factor number .

Step-1: Prime Factorization of 75450

Prime factors of 75450 are 2, 3, 5, 503. Prime factorization of 75450 in exponential form is:

75450 = 2¹ × 3¹ × 5² × 503¹

Step-2: Prime Factorization of 75470

Prime factors of 75470 are 2, 5, 7547. Prime factorization of 75470 in exponential form is:

75470 = 2¹ × 5¹ × 7547¹

Step-3: Factors of 75450

List of positive integer factors of 75450 that divides 75450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 503, 1006, 1509, 2515, 3018, 5030, 7545, 12575, 15090, 25150, 37725

Step-4: Factors of 75470

List of positive integer factors of 75470 that divides 75450 without a remainder.

1, 2, 5, 10, 7547, 15094, 37735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75450 and 75470. The biggest common factor number is the GCF number.
So the greatest common factor 75450 and 75470 is 10.

Also check out the Least Common Multiple of 75450 and 75470