What is the Greatest Common Factor of 35607 and 35611?

Greatest common factor (GCF) of 35607 and 35611 is 1.

GCF(35607,35611) = 1

We will now calculate the prime factors of 35607 and 35611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35607 and 35611.

How to find the GCF of 35607 and 35611?

We will first find the prime factorization of 35607 and 35611. After we will calculate the factors of 35607 and 35611 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 35611

Prime factors of 35611 are 149, 239. Prime factorization of 35611 in exponential form is:

35611 = 149¹ × 239¹

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 35611

List of positive integer factors of 35611 that divides 35607 without a remainder.

1, 149, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35607 and 35611. The biggest common factor number is the GCF number.
So the greatest common factor 35607 and 35611 is 1.

Also check out the Least Common Multiple of 35607 and 35611