What is the Greatest Common Factor of 35360 and 35377?

Greatest common factor (GCF) of 35360 and 35377 is 17.

GCF(35360,35377) = 17

We will now calculate the prime factors of 35360 and 35377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35360 and 35377.

How to find the GCF of 35360 and 35377?

We will first find the prime factorization of 35360 and 35377. After we will calculate the factors of 35360 and 35377 and find the biggest common factor number .

Step-1: Prime Factorization of 35360

Prime factors of 35360 are 2, 5, 13, 17. Prime factorization of 35360 in exponential form is:

35360 = 2⁵ × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 35377

Prime factors of 35377 are 17, 2081. Prime factorization of 35377 in exponential form is:

35377 = 17¹ × 2081¹

Step-3: Factors of 35360

List of positive integer factors of 35360 that divides 35360 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 26, 32, 34, 40, 52, 65, 68, 80, 85, 104, 130, 136, 160, 170, 208, 221, 260, 272, 340, 416, 442, 520, 544, 680, 884, 1040, 1105, 1360, 1768, 2080, 2210, 2720, 3536, 4420, 7072, 8840, 17680

Step-4: Factors of 35377

List of positive integer factors of 35377 that divides 35360 without a remainder.

1, 17, 2081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35360 and 35377. The biggest common factor number is the GCF number.
So the greatest common factor 35360 and 35377 is 17.

Also check out the Least Common Multiple of 35360 and 35377