What is the Greatest Common Factor of 35620 and 35630?

Greatest common factor (GCF) of 35620 and 35630 is 10.

GCF(35620,35630) = 10

We will now calculate the prime factors of 35620 and 35630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35620 and 35630.

How to find the GCF of 35620 and 35630?

We will first find the prime factorization of 35620 and 35630. After we will calculate the factors of 35620 and 35630 and find the biggest common factor number .

Step-1: Prime Factorization of 35620

Prime factors of 35620 are 2, 5, 13, 137. Prime factorization of 35620 in exponential form is:

35620 = 2² × 5¹ × 13¹ × 137¹

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 35620

List of positive integer factors of 35620 that divides 35620 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 137, 260, 274, 548, 685, 1370, 1781, 2740, 3562, 7124, 8905, 17810

Step-4: Factors of 35630

List of positive integer factors of 35630 that divides 35620 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 35620 and 35630. The biggest common factor number is the GCF number.
So the greatest common factor 35620 and 35630 is 10.

Also check out the Least Common Multiple of 35620 and 35630