What is the Greatest Common Factor of 85720 and 85738?

Greatest common factor (GCF) of 85720 and 85738 is 2.

GCF(85720,85738) = 2

We will now calculate the prime factors of 85720 and 85738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85720 and 85738.

How to find the GCF of 85720 and 85738?

We will first find the prime factorization of 85720 and 85738. After we will calculate the factors of 85720 and 85738 and find the biggest common factor number .

Step-1: Prime Factorization of 85720

Prime factors of 85720 are 2, 5, 2143. Prime factorization of 85720 in exponential form is:

85720 = 2³ × 5¹ × 2143¹

Step-2: Prime Factorization of 85738

Prime factors of 85738 are 2, 163, 263. Prime factorization of 85738 in exponential form is:

85738 = 2¹ × 163¹ × 263¹

Step-3: Factors of 85720

List of positive integer factors of 85720 that divides 85720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2143, 4286, 8572, 10715, 17144, 21430, 42860

Step-4: Factors of 85738

List of positive integer factors of 85738 that divides 85720 without a remainder.

1, 2, 163, 263, 326, 526, 42869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85720 and 85738. The biggest common factor number is the GCF number.
So the greatest common factor 85720 and 85738 is 2.

Also check out the Least Common Multiple of 85720 and 85738