What is the Greatest Common Factor of 45696 and 45702?

Greatest common factor (GCF) of 45696 and 45702 is 6.

GCF(45696,45702) = 6

We will now calculate the prime factors of 45696 and 45702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45696 and 45702.

How to find the GCF of 45696 and 45702?

We will first find the prime factorization of 45696 and 45702. After we will calculate the factors of 45696 and 45702 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 45702

Prime factors of 45702 are 2, 3, 2539. Prime factorization of 45702 in exponential form is:

45702 = 2¹ × 3² × 2539¹

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 45702

List of positive integer factors of 45702 that divides 45696 without a remainder.

1, 2, 3, 6, 9, 18, 2539, 5078, 7617, 15234, 22851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45696 and 45702. The biggest common factor number is the GCF number.
So the greatest common factor 45696 and 45702 is 6.

Also check out the Least Common Multiple of 45696 and 45702