What is the Greatest Common Factor of 75572 and 75586?

Greatest common factor (GCF) of 75572 and 75586 is 14.

GCF(75572,75586) = 14

We will now calculate the prime factors of 75572 and 75586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75572 and 75586.

How to find the GCF of 75572 and 75586?

We will first find the prime factorization of 75572 and 75586. After we will calculate the factors of 75572 and 75586 and find the biggest common factor number .

Step-1: Prime Factorization of 75572

Prime factors of 75572 are 2, 7, 2699. Prime factorization of 75572 in exponential form is:

75572 = 2² × 7¹ × 2699¹

Step-2: Prime Factorization of 75586

Prime factors of 75586 are 2, 7, 5399. Prime factorization of 75586 in exponential form is:

75586 = 2¹ × 7¹ × 5399¹

Step-3: Factors of 75572

List of positive integer factors of 75572 that divides 75572 without a remainder.

1, 2, 4, 7, 14, 28, 2699, 5398, 10796, 18893, 37786

Step-4: Factors of 75586

List of positive integer factors of 75586 that divides 75572 without a remainder.

1, 2, 7, 14, 5399, 10798, 37793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75572 and 75586. The biggest common factor number is the GCF number.
So the greatest common factor 75572 and 75586 is 14.

Also check out the Least Common Multiple of 75572 and 75586