What is the Greatest Common Factor of 75457 and 75462?

Greatest common factor (GCF) of 75457 and 75462 is 1.

GCF(75457,75462) = 1

We will now calculate the prime factors of 75457 and 75462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75457 and 75462.

How to find the GCF of 75457 and 75462?

We will first find the prime factorization of 75457 and 75462. After we will calculate the factors of 75457 and 75462 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 75462

Prime factors of 75462 are 2, 3, 12577. Prime factorization of 75462 in exponential form is:

75462 = 2¹ × 3¹ × 12577¹

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 75462

List of positive integer factors of 75462 that divides 75457 without a remainder.

1, 2, 3, 6, 12577, 25154, 37731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75457 and 75462. The biggest common factor number is the GCF number.
So the greatest common factor 75457 and 75462 is 1.

Also check out the Least Common Multiple of 75457 and 75462