What is the Greatest Common Factor of 85938 and 85956?

Greatest common factor (GCF) of 85938 and 85956 is 6.

GCF(85938,85956) = 6

We will now calculate the prime factors of 85938 and 85956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85938 and 85956.

How to find the GCF of 85938 and 85956?

We will first find the prime factorization of 85938 and 85956. After we will calculate the factors of 85938 and 85956 and find the biggest common factor number .

Step-1: Prime Factorization of 85938

Prime factors of 85938 are 2, 3, 14323. Prime factorization of 85938 in exponential form is:

85938 = 2¹ × 3¹ × 14323¹

Step-2: Prime Factorization of 85956

Prime factors of 85956 are 2, 3, 13, 19, 29. Prime factorization of 85956 in exponential form is:

85956 = 2² × 3¹ × 13¹ × 19¹ × 29¹

Step-3: Factors of 85938

List of positive integer factors of 85938 that divides 85938 without a remainder.

1, 2, 3, 6, 14323, 28646, 42969

Step-4: Factors of 85956

List of positive integer factors of 85956 that divides 85938 without a remainder.

1, 2, 3, 4, 6, 12, 13, 19, 26, 29, 38, 39, 52, 57, 58, 76, 78, 87, 114, 116, 156, 174, 228, 247, 348, 377, 494, 551, 741, 754, 988, 1102, 1131, 1482, 1508, 1653, 2204, 2262, 2964, 3306, 4524, 6612, 7163, 14326, 21489, 28652, 42978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85938 and 85956. The biggest common factor number is the GCF number.
So the greatest common factor 85938 and 85956 is 6.

Also check out the Least Common Multiple of 85938 and 85956