What is the Greatest Common Factor of 88074 and 88086?

Greatest common factor (GCF) of 88074 and 88086 is 6.

GCF(88074,88086) = 6

We will now calculate the prime factors of 88074 and 88086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88074 and 88086.

How to find the GCF of 88074 and 88086?

We will first find the prime factorization of 88074 and 88086. After we will calculate the factors of 88074 and 88086 and find the biggest common factor number .

Step-1: Prime Factorization of 88074

Prime factors of 88074 are 2, 3, 7, 233. Prime factorization of 88074 in exponential form is:

88074 = 2¹ × 3³ × 7¹ × 233¹

Step-2: Prime Factorization of 88086

Prime factors of 88086 are 2, 3, 53, 277. Prime factorization of 88086 in exponential form is:

88086 = 2¹ × 3¹ × 53¹ × 277¹

Step-3: Factors of 88074

List of positive integer factors of 88074 that divides 88074 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 233, 378, 466, 699, 1398, 1631, 2097, 3262, 4194, 4893, 6291, 9786, 12582, 14679, 29358, 44037

Step-4: Factors of 88086

List of positive integer factors of 88086 that divides 88074 without a remainder.

1, 2, 3, 6, 53, 106, 159, 277, 318, 554, 831, 1662, 14681, 29362, 44043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88074 and 88086. The biggest common factor number is the GCF number.
So the greatest common factor 88074 and 88086 is 6.

Also check out the Least Common Multiple of 88074 and 88086