What is the Greatest Common Factor of 85956 and 85973?

Greatest common factor (GCF) of 85956 and 85973 is 1.

GCF(85956,85973) = 1

We will now calculate the prime factors of 85956 and 85973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85956 and 85973.

How to find the GCF of 85956 and 85973?

We will first find the prime factorization of 85956 and 85973. After we will calculate the factors of 85956 and 85973 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85973

Prime factors of 85973 are 149, 577. Prime factorization of 85973 in exponential form is:

85973 = 149¹ × 577¹

Step-3: Factors of 85956

List of positive integer factors of 85956 that divides 85956 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

Step-4: Factors of 85973

List of positive integer factors of 85973 that divides 85956 without a remainder.

1, 149, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85956 and 85973. The biggest common factor number is the GCF number.
So the greatest common factor 85956 and 85973 is 1.

Also check out the Least Common Multiple of 85956 and 85973