What is the Greatest Common Factor of 40696 and 40703?

Greatest common factor (GCF) of 40696 and 40703 is 1.

GCF(40696,40703) = 1

We will now calculate the prime factors of 40696 and 40703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40696 and 40703.

How to find the GCF of 40696 and 40703?

We will first find the prime factorization of 40696 and 40703. After we will calculate the factors of 40696 and 40703 and find the biggest common factor number .

Step-1: Prime Factorization of 40696

Prime factors of 40696 are 2, 5087. Prime factorization of 40696 in exponential form is:

40696 = 2³ × 5087¹

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 40696

List of positive integer factors of 40696 that divides 40696 without a remainder.

1, 2, 4, 8, 5087, 10174, 20348

Step-4: Factors of 40703

List of positive integer factors of 40703 that divides 40696 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40696 and 40703. The biggest common factor number is the GCF number.
So the greatest common factor 40696 and 40703 is 1.

Also check out the Least Common Multiple of 40696 and 40703