What is the Greatest Common Factor of 69082 and 69088?

Greatest common factor (GCF) of 69082 and 69088 is 2.

GCF(69082,69088) = 2

We will now calculate the prime factors of 69082 and 69088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69082 and 69088.

How to find the GCF of 69082 and 69088?

We will first find the prime factorization of 69082 and 69088. After we will calculate the factors of 69082 and 69088 and find the biggest common factor number .

Step-1: Prime Factorization of 69082

Prime factors of 69082 are 2, 13, 2657. Prime factorization of 69082 in exponential form is:

69082 = 2¹ × 13¹ × 2657¹

Step-2: Prime Factorization of 69088

Prime factors of 69088 are 2, 17, 127. Prime factorization of 69088 in exponential form is:

69088 = 2⁵ × 17¹ × 127¹

Step-3: Factors of 69082

List of positive integer factors of 69082 that divides 69082 without a remainder.

1, 2, 13, 26, 2657, 5314, 34541

Step-4: Factors of 69088

List of positive integer factors of 69088 that divides 69082 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 127, 136, 254, 272, 508, 544, 1016, 2032, 2159, 4064, 4318, 8636, 17272, 34544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69082 and 69088. The biggest common factor number is the GCF number.
So the greatest common factor 69082 and 69088 is 2.

Also check out the Least Common Multiple of 69082 and 69088