What is the Greatest Common Factor of 69088 and 69102?

Greatest common factor (GCF) of 69088 and 69102 is 2.

GCF(69088,69102) = 2

We will now calculate the prime factors of 69088 and 69102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69088 and 69102.

How to find the GCF of 69088 and 69102?

We will first find the prime factorization of 69088 and 69102. After we will calculate the factors of 69088 and 69102 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69102

Prime factors of 69102 are 2, 3, 11, 349. Prime factorization of 69102 in exponential form is:

69102 = 2¹ × 3² × 11¹ × 349¹

Step-3: Factors of 69088

List of positive integer factors of 69088 that divides 69088 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

Step-4: Factors of 69102

List of positive integer factors of 69102 that divides 69088 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 349, 698, 1047, 2094, 3141, 3839, 6282, 7678, 11517, 23034, 34551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69088 and 69102. The biggest common factor number is the GCF number.
So the greatest common factor 69088 and 69102 is 2.

Also check out the Least Common Multiple of 69088 and 69102