What is the Greatest Common Factor of 65688 and 65692?

Greatest common factor (GCF) of 65688 and 65692 is 4.

GCF(65688,65692) = 4

We will now calculate the prime factors of 65688 and 65692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65688 and 65692.

How to find the GCF of 65688 and 65692?

We will first find the prime factorization of 65688 and 65692. After we will calculate the factors of 65688 and 65692 and find the biggest common factor number .

Step-1: Prime Factorization of 65688

Prime factors of 65688 are 2, 3, 7, 17, 23. Prime factorization of 65688 in exponential form is:

65688 = 2³ × 3¹ × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 65692

Prime factors of 65692 are 2, 11, 1493. Prime factorization of 65692 in exponential form is:

65692 = 2² × 11¹ × 1493¹

Step-3: Factors of 65688

List of positive integer factors of 65688 that divides 65688 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 23, 24, 28, 34, 42, 46, 51, 56, 68, 69, 84, 92, 102, 119, 136, 138, 161, 168, 184, 204, 238, 276, 322, 357, 391, 408, 476, 483, 552, 644, 714, 782, 952, 966, 1173, 1288, 1428, 1564, 1932, 2346, 2737, 2856, 3128, 3864, 4692, 5474, 8211, 9384, 10948, 16422, 21896, 32844

Step-4: Factors of 65692

List of positive integer factors of 65692 that divides 65688 without a remainder.

1, 2, 4, 11, 22, 44, 1493, 2986, 5972, 16423, 32846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65688 and 65692. The biggest common factor number is the GCF number.
So the greatest common factor 65688 and 65692 is 4.

Also check out the Least Common Multiple of 65688 and 65692