What is the Greatest Common Factor of 40698 and 40703?

Greatest common factor (GCF) of 40698 and 40703 is 1.

GCF(40698,40703) = 1

We will now calculate the prime factors of 40698 and 40703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40698 and 40703.

How to find the GCF of 40698 and 40703?

We will first find the prime factorization of 40698 and 40703. After we will calculate the factors of 40698 and 40703 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 40703

Prime factors of 40703 are 13, 31, 101. Prime factorization of 40703 in exponential form is:

40703 = 13¹ × 31¹ × 101¹

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 40703

List of positive integer factors of 40703 that divides 40698 without a remainder.

1, 13, 31, 101, 403, 1313, 3131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40698 and 40703. The biggest common factor number is the GCF number.
So the greatest common factor 40698 and 40703 is 1.

Also check out the Least Common Multiple of 40698 and 40703