What is the Greatest Common Factor of 45696 and 45701?

Greatest common factor (GCF) of 45696 and 45701 is 1.

GCF(45696,45701) = 1

We will now calculate the prime factors of 45696 and 45701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45696 and 45701.

How to find the GCF of 45696 and 45701?

We will first find the prime factorization of 45696 and 45701. After we will calculate the factors of 45696 and 45701 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45701

Prime factors of 45701 are 23, 1987. Prime factorization of 45701 in exponential form is:

45701 = 23¹ × 1987¹

Step-3: Factors of 45696

List of positive integer factors of 45696 that divides 45696 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

Step-4: Factors of 45701

List of positive integer factors of 45701 that divides 45696 without a remainder.

1, 23, 1987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45696 and 45701. The biggest common factor number is the GCF number.
So the greatest common factor 45696 and 45701 is 1.

Also check out the Least Common Multiple of 45696 and 45701