What is the Greatest Common Factor of 45689 and 45696?

Greatest common factor (GCF) of 45689 and 45696 is 7.

GCF(45689,45696) = 7

We will now calculate the prime factors of 45689 and 45696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45689 and 45696.

How to find the GCF of 45689 and 45696?

We will first find the prime factorization of 45689 and 45696. After we will calculate the factors of 45689 and 45696 and find the biggest common factor number .

Step-1: Prime Factorization of 45689

Prime factors of 45689 are 7, 61, 107. Prime factorization of 45689 in exponential form is:

45689 = 7¹ × 61¹ × 107¹

Step-2: Prime Factorization of 45696

Prime factors of 45696 are 2, 3, 7, 17. Prime factorization of 45696 in exponential form is:

45696 = 2⁷ × 3¹ × 7¹ × 17¹

Step-3: Factors of 45689

List of positive integer factors of 45689 that divides 45689 without a remainder.

1, 7, 61, 107, 427, 749, 6527

Step-4: Factors of 45696

List of positive integer factors of 45696 that divides 45689 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 51, 56, 64, 68, 84, 96, 102, 112, 119, 128, 136, 168, 192, 204, 224, 238, 272, 336, 357, 384, 408, 448, 476, 544, 672, 714, 816, 896, 952, 1088, 1344, 1428, 1632, 1904, 2176, 2688, 2856, 3264, 3808, 5712, 6528, 7616, 11424, 15232, 22848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45689 and 45696. The biggest common factor number is the GCF number.
So the greatest common factor 45689 and 45696 is 7.

Also check out the Least Common Multiple of 45689 and 45696