What is the Greatest Common Factor of 35625 and 35630?

Greatest common factor (GCF) of 35625 and 35630 is 5.

GCF(35625,35630) = 5

We will now calculate the prime factors of 35625 and 35630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35625 and 35630.

How to find the GCF of 35625 and 35630?

We will first find the prime factorization of 35625 and 35630. After we will calculate the factors of 35625 and 35630 and find the biggest common factor number .

Step-1: Prime Factorization of 35625

Prime factors of 35625 are 3, 5, 19. Prime factorization of 35625 in exponential form is:

35625 = 3¹ × 5⁴ × 19¹

Step-2: 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-3: Factors of 35625

List of positive integer factors of 35625 that divides 35625 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 625, 1425, 1875, 2375, 7125, 11875

Step-4: Factors of 35630

List of positive integer factors of 35630 that divides 35625 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35625 and 35630. The biggest common factor number is the GCF number.
So the greatest common factor 35625 and 35630 is 5.

Also check out the Least Common Multiple of 35625 and 35630