What is the Greatest Common Factor of 85974 and 85986?

Greatest common factor (GCF) of 85974 and 85986 is 6.

GCF(85974,85986) = 6

We will now calculate the prime factors of 85974 and 85986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85974 and 85986.

How to find the GCF of 85974 and 85986?

We will first find the prime factorization of 85974 and 85986. After we will calculate the factors of 85974 and 85986 and find the biggest common factor number .

Step-1: Prime Factorization of 85974

Prime factors of 85974 are 2, 3, 7, 23, 89. Prime factorization of 85974 in exponential form is:

85974 = 2¹ × 3¹ × 7¹ × 23¹ × 89¹

Step-2: Prime Factorization of 85986

Prime factors of 85986 are 2, 3, 17, 281. Prime factorization of 85986 in exponential form is:

85986 = 2¹ × 3² × 17¹ × 281¹

Step-3: Factors of 85974

List of positive integer factors of 85974 that divides 85974 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 89, 138, 161, 178, 267, 322, 483, 534, 623, 966, 1246, 1869, 2047, 3738, 4094, 6141, 12282, 14329, 28658, 42987

Step-4: Factors of 85986

List of positive integer factors of 85986 that divides 85974 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 281, 306, 562, 843, 1686, 2529, 4777, 5058, 9554, 14331, 28662, 42993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85974 and 85986. The biggest common factor number is the GCF number.
So the greatest common factor 85974 and 85986 is 6.

Also check out the Least Common Multiple of 85974 and 85986