What is the Greatest Common Factor of 85722 and 85729?

Greatest common factor (GCF) of 85722 and 85729 is 7.

GCF(85722,85729) = 7

We will now calculate the prime factors of 85722 and 85729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85722 and 85729.

How to find the GCF of 85722 and 85729?

We will first find the prime factorization of 85722 and 85729. After we will calculate the factors of 85722 and 85729 and find the biggest common factor number .

Step-1: Prime Factorization of 85722

Prime factors of 85722 are 2, 3, 7, 13, 157. Prime factorization of 85722 in exponential form is:

85722 = 2¹ × 3¹ × 7¹ × 13¹ × 157¹

Step-2: Prime Factorization of 85729

Prime factors of 85729 are 7, 37, 331. Prime factorization of 85729 in exponential form is:

85729 = 7¹ × 37¹ × 331¹

Step-3: Factors of 85722

List of positive integer factors of 85722 that divides 85722 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 157, 182, 273, 314, 471, 546, 942, 1099, 2041, 2198, 3297, 4082, 6123, 6594, 12246, 14287, 28574, 42861

Step-4: Factors of 85729

List of positive integer factors of 85729 that divides 85722 without a remainder.

1, 7, 37, 259, 331, 2317, 12247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85722 and 85729. The biggest common factor number is the GCF number.
So the greatest common factor 85722 and 85729 is 7.

Also check out the Least Common Multiple of 85722 and 85729