What is the Greatest Common Factor of 75457 and 75470?

Greatest common factor (GCF) of 75457 and 75470 is 1.

GCF(75457,75470) = 1

We will now calculate the prime factors of 75457 and 75470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75457 and 75470.

How to find the GCF of 75457 and 75470?

We will first find the prime factorization of 75457 and 75470. After we will calculate the factors of 75457 and 75470 and find the biggest common factor number .

Step-1: Prime Factorization of 75457

Prime factors of 75457 are 61, 1237. Prime factorization of 75457 in exponential form is:

75457 = 61¹ × 1237¹

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 75457

List of positive integer factors of 75457 that divides 75457 without a remainder.

1, 61, 1237

Step-4: Factors of 75470

List of positive integer factors of 75470 that divides 75457 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75457 and 75470. The biggest common factor number is the GCF number.
So the greatest common factor 75457 and 75470 is 1.

Also check out the Least Common Multiple of 75457 and 75470