What is the Greatest Common Factor of 35607 and 35620?

Greatest common factor (GCF) of 35607 and 35620 is 13.

GCF(35607,35620) = 13

We will now calculate the prime factors of 35607 and 35620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35607 and 35620.

How to find the GCF of 35607 and 35620?

We will first find the prime factorization of 35607 and 35620. After we will calculate the factors of 35607 and 35620 and find the biggest common factor number .

Step-1: Prime Factorization of 35607

Prime factors of 35607 are 3, 11, 13, 83. Prime factorization of 35607 in exponential form is:

35607 = 3¹ × 11¹ × 13¹ × 83¹

Step-2: 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-3: Factors of 35607

List of positive integer factors of 35607 that divides 35607 without a remainder.

1, 3, 11, 13, 33, 39, 83, 143, 249, 429, 913, 1079, 2739, 3237, 11869

Step-4: Factors of 35620

List of positive integer factors of 35620 that divides 35607 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35607 and 35620. The biggest common factor number is the GCF number.
So the greatest common factor 35607 and 35620 is 13.

Also check out the Least Common Multiple of 35607 and 35620