What is the Greatest Common Factor of 88074 and 88085?

Greatest common factor (GCF) of 88074 and 88085 is 1.

GCF(88074,88085) = 1

We will now calculate the prime factors of 88074 and 88085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88074 and 88085.

How to find the GCF of 88074 and 88085?

We will first find the prime factorization of 88074 and 88085. After we will calculate the factors of 88074 and 88085 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 88085

Prime factors of 88085 are 5, 79, 223. Prime factorization of 88085 in exponential form is:

88085 = 5¹ × 79¹ × 223¹

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 88085

List of positive integer factors of 88085 that divides 88074 without a remainder.

1, 5, 79, 223, 395, 1115, 17617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88074 and 88085. The biggest common factor number is the GCF number.
So the greatest common factor 88074 and 88085 is 1.

Also check out the Least Common Multiple of 88074 and 88085