What is the Greatest Common Factor of 40698 and 40705?

Greatest common factor (GCF) of 40698 and 40705 is 7.

GCF(40698,40705) = 7

We will now calculate the prime factors of 40698 and 40705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40698 and 40705.

How to find the GCF of 40698 and 40705?

We will first find the prime factorization of 40698 and 40705. After we will calculate the factors of 40698 and 40705 and find the biggest common factor number .

Step-1: Prime Factorization of 40698

Prime factors of 40698 are 2, 3, 7, 17, 19. Prime factorization of 40698 in exponential form is:

40698 = 2¹ × 3² × 7¹ × 17¹ × 19¹

Step-2: Prime Factorization of 40705

Prime factors of 40705 are 5, 7, 1163. Prime factorization of 40705 in exponential form is:

40705 = 5¹ × 7¹ × 1163¹

Step-3: Factors of 40698

List of positive integer factors of 40698 that divides 40698 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 19, 21, 34, 38, 42, 51, 57, 63, 102, 114, 119, 126, 133, 153, 171, 238, 266, 306, 323, 342, 357, 399, 646, 714, 798, 969, 1071, 1197, 1938, 2142, 2261, 2394, 2907, 4522, 5814, 6783, 13566, 20349

Step-4: Factors of 40705

List of positive integer factors of 40705 that divides 40698 without a remainder.

1, 5, 7, 35, 1163, 5815, 8141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40698 and 40705. The biggest common factor number is the GCF number.
So the greatest common factor 40698 and 40705 is 7.

Also check out the Least Common Multiple of 40698 and 40705