What is the Greatest Common Factor of 40670 and 40684?

Greatest common factor (GCF) of 40670 and 40684 is 14.

GCF(40670,40684) = 14

We will now calculate the prime factors of 40670 and 40684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40670 and 40684.

How to find the GCF of 40670 and 40684?

We will first find the prime factorization of 40670 and 40684. After we will calculate the factors of 40670 and 40684 and find the biggest common factor number .

Step-1: Prime Factorization of 40670

Prime factors of 40670 are 2, 5, 7, 83. Prime factorization of 40670 in exponential form is:

40670 = 2¹ × 5¹ × 7² × 83¹

Step-2: Prime Factorization of 40684

Prime factors of 40684 are 2, 7, 1453. Prime factorization of 40684 in exponential form is:

40684 = 2² × 7¹ × 1453¹

Step-3: Factors of 40670

List of positive integer factors of 40670 that divides 40670 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 83, 98, 166, 245, 415, 490, 581, 830, 1162, 2905, 4067, 5810, 8134, 20335

Step-4: Factors of 40684

List of positive integer factors of 40684 that divides 40670 without a remainder.

1, 2, 4, 7, 14, 28, 1453, 2906, 5812, 10171, 20342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40670 and 40684. The biggest common factor number is the GCF number.
So the greatest common factor 40670 and 40684 is 14.

Also check out the Least Common Multiple of 40670 and 40684