What is the Greatest Common Factor of 75523 and 75537?

Greatest common factor (GCF) of 75523 and 75537 is 7.

GCF(75523,75537) = 7

We will now calculate the prime factors of 75523 and 75537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75523 and 75537.

How to find the GCF of 75523 and 75537?

We will first find the prime factorization of 75523 and 75537. After we will calculate the factors of 75523 and 75537 and find the biggest common factor number .

Step-1: Prime Factorization of 75523

Prime factors of 75523 are 7, 10789. Prime factorization of 75523 in exponential form is:

75523 = 7¹ × 10789¹

Step-2: Prime Factorization of 75537

Prime factors of 75537 are 3, 7, 11, 109. Prime factorization of 75537 in exponential form is:

75537 = 3² × 7¹ × 11¹ × 109¹

Step-3: Factors of 75523

List of positive integer factors of 75523 that divides 75523 without a remainder.

1, 7, 10789

Step-4: Factors of 75537

List of positive integer factors of 75537 that divides 75523 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 109, 231, 327, 693, 763, 981, 1199, 2289, 3597, 6867, 8393, 10791, 25179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75523 and 75537. The biggest common factor number is the GCF number.
So the greatest common factor 75523 and 75537 is 7.

Also check out the Least Common Multiple of 75523 and 75537