What is the Greatest Common Factor of 85762 and 85772?

Greatest common factor (GCF) of 85762 and 85772 is 2.

GCF(85762,85772) = 2

We will now calculate the prime factors of 85762 and 85772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85762 and 85772.

How to find the GCF of 85762 and 85772?

We will first find the prime factorization of 85762 and 85772. After we will calculate the factors of 85762 and 85772 and find the biggest common factor number .

Step-1: Prime Factorization of 85762

Prime factors of 85762 are 2, 137, 313. Prime factorization of 85762 in exponential form is:

85762 = 2¹ × 137¹ × 313¹

Step-2: Prime Factorization of 85772

Prime factors of 85772 are 2, 41, 523. Prime factorization of 85772 in exponential form is:

85772 = 2² × 41¹ × 523¹

Step-3: Factors of 85762

List of positive integer factors of 85762 that divides 85762 without a remainder.

1, 2, 137, 274, 313, 626, 42881

Step-4: Factors of 85772

List of positive integer factors of 85772 that divides 85762 without a remainder.

1, 2, 4, 41, 82, 164, 523, 1046, 2092, 21443, 42886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85762 and 85772. The biggest common factor number is the GCF number.
So the greatest common factor 85762 and 85772 is 2.

Also check out the Least Common Multiple of 85762 and 85772