What is the Greatest Common Factor of 35630 and 35643?

Greatest common factor (GCF) of 35630 and 35643 is 1.

GCF(35630,35643) = 1

We will now calculate the prime factors of 35630 and 35643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35630 and 35643.

How to find the GCF of 35630 and 35643?

We will first find the prime factorization of 35630 and 35643. After we will calculate the factors of 35630 and 35643 and find the biggest common factor number .

Step-1: Prime Factorization of 35630

Prime factors of 35630 are 2, 5, 7, 509. Prime factorization of 35630 in exponential form is:

35630 = 2¹ × 5¹ × 7¹ × 509¹

Step-2: Prime Factorization of 35643

Prime factors of 35643 are 3, 109. Prime factorization of 35643 in exponential form is:

35643 = 3¹ × 109²

Step-3: Factors of 35630

List of positive integer factors of 35630 that divides 35630 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 509, 1018, 2545, 3563, 5090, 7126, 17815

Step-4: Factors of 35643

List of positive integer factors of 35643 that divides 35630 without a remainder.

1, 3, 109, 327, 11881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35630 and 35643. The biggest common factor number is the GCF number.
So the greatest common factor 35630 and 35643 is 1.

Also check out the Least Common Multiple of 35630 and 35643